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2 <p>Last updated on<strong>August 11, 2025</strong></p>

3 <p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share the items equally, to group or arrange items and schedule events. In this topic, we will learn about the GCF of 4 and 144.</p>

4 <h2>What is the GCF of 4 and 144?</h2>

5 <p>The<a>greatest common factor</a>of 4 and 144 is 4. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number. If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>

6 <h2>How to find the GCF of 4 and 144?</h2>

7 <p>To find the GCF of 4 and 144, a few methods are described below </p>

8 <ul><li>Listing Factors </li>

9 <li>Prime Factorization </li>

10 <li>Long Division Method / by Euclidean Algorithm</li>

11 </ul><h2>GCF of 4 and 144 by Using Listing of factors</h2>

12 <p>Steps to find the GCF of 4 and 144 using the listing of<a>factors</a></p>

13 <p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 4 = 1, 2, 4. Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.</p>

14 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 4 and 144: 1, 2, 4.</p>

15 <p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 4.</p>

16 <p>The GCF of 4 and 144 is 4.</p>

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19 <h2>GCF of 4 and 144 Using Prime Factorization</h2>

18 <h2>GCF of 4 and 144 Using Prime Factorization</h2>

20 <p>To find the GCF of 4 and 144 using the Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 4 and 144 using the Prime Factorization Method, follow these steps:</p>

21 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 4: 4 = 2 x 2 = 22 Prime Factors of 144: 144 = 2 x 2 x 2 x 2 x 3 x 3 = 24 x 32</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 4: 4 = 2 x 2 = 22 Prime Factors of 144: 144 = 2 x 2 x 2 x 2 x 3 x 3 = 24 x 32</p>

22 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 x 2 = 22</p>

21 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 x 2 = 22</p>

23 <p><strong>Step 3:</strong>Multiply the common prime factors 22 = 4.</p>

22 <p><strong>Step 3:</strong>Multiply the common prime factors 22 = 4.</p>

24 <p>The Greatest Common Factor of 4 and 144 is 4.</p>

23 <p>The Greatest Common Factor of 4 and 144 is 4.</p>

25 <h2>GCF of 4 and 144 Using Division Method or Euclidean Algorithm Method</h2>

24 <h2>GCF of 4 and 144 Using Division Method or Euclidean Algorithm Method</h2>

26 <p>Find the GCF of 4 and 144 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

25 <p>Find the GCF of 4 and 144 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

27 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number</p>

26 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number</p>

28 <p>Here, divide 144 by 4 144 ÷ 4 = 36 (<a>quotient</a>),</p>

27 <p>Here, divide 144 by 4 144 ÷ 4 = 36 (<a>quotient</a>),</p>

29 <p>The<a>remainder</a>is calculated as 144 - (4×36) = 0</p>

28 <p>The<a>remainder</a>is calculated as 144 - (4×36) = 0</p>

30 <p>The remainder is zero, so the divisor becomes the GCF.</p>

29 <p>The remainder is zero, so the divisor becomes the GCF.</p>

31 <p>The GCF of 4 and 144 is 4.</p>

30 <p>The GCF of 4 and 144 is 4.</p>

32 <h2>Common Mistakes and How to Avoid Them in GCF of 4 and 144</h2>

31 <h2>Common Mistakes and How to Avoid Them in GCF of 4 and 144</h2>

33 <p>Finding the GCF of 4 and 144 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

32 <p>Finding the GCF of 4 and 144 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

34 <h3>Problem 1</h3>

33 <h3>Problem 1</h3>

35 <p>A landscaper has 4 small flower pots and 144 large flower pots. He wants to arrange them into groups with the largest number of pots in each group. How many pots will be in each group?</p>

34 <p>A landscaper has 4 small flower pots and 144 large flower pots. He wants to arrange them into groups with the largest number of pots in each group. How many pots will be in each group?</p>

36 <p>Okay, lets begin</p>

35 <p>Okay, lets begin</p>

37 <p>We should find the GCF of 4 and 144. GCF of 4 and 144 is 4.</p>

36 <p>We should find the GCF of 4 and 144. GCF of 4 and 144 is 4.</p>

38 <p>There are 4 equal groups. 4 ÷ 4 = 1 144 ÷ 4 = 36</p>

37 <p>There are 4 equal groups. 4 ÷ 4 = 1 144 ÷ 4 = 36</p>

39 <p>There will be 4 groups, and each group gets 1 small pot and 36 large pots.</p>

38 <p>There will be 4 groups, and each group gets 1 small pot and 36 large pots.</p>

40 <h3>Explanation</h3>

39 <h3>Explanation</h3>

41 <p>As the GCF of 4 and 144 is 4, the landscaper can make 4 groups.</p>

40 <p>As the GCF of 4 and 144 is 4, the landscaper can make 4 groups.</p>

42 <p>Now divide 4 and 144 by 4.</p>

41 <p>Now divide 4 and 144 by 4.</p>

43 <p>Each group gets 1 small pot and 36 large pots.</p>

42 <p>Each group gets 1 small pot and 36 large pots.</p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 2</h3>

44 <h3>Problem 2</h3>

46 <p>A school is organizing a sports event with 4 basketballs and 144 soccer balls. They want to make the largest possible groups with the same number of balls in each group. How many balls will be in each group?</p>

45 <p>A school is organizing a sports event with 4 basketballs and 144 soccer balls. They want to make the largest possible groups with the same number of balls in each group. How many balls will be in each group?</p>

47 <p>Okay, lets begin</p>

46 <p>Okay, lets begin</p>

48 <p>GCF of 4 and 144 is 4. So each group will have 4 balls.</p>

47 <p>GCF of 4 and 144 is 4. So each group will have 4 balls.</p>

49 <h3>Explanation</h3>

48 <h3>Explanation</h3>

50 <p>There are 4 basketballs and 144 soccer balls.</p>

49 <p>There are 4 basketballs and 144 soccer balls.</p>

51 <p>To find the total number of balls in each group, we should find the GCF of 4 and 144.</p>

50 <p>To find the total number of balls in each group, we should find the GCF of 4 and 144.</p>

52 <p>There will be 4 balls in each group.</p>

51 <p>There will be 4 balls in each group.</p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h3>Problem 3</h3>

53 <h3>Problem 3</h3>

55 <p>A chef has 4 liters of olive oil and 144 liters of vegetable oil. She wants to package them into containers of equal volume, using the largest possible volume. What should be the volume of each container?</p>

54 <p>A chef has 4 liters of olive oil and 144 liters of vegetable oil. She wants to package them into containers of equal volume, using the largest possible volume. What should be the volume of each container?</p>

56 <p>Okay, lets begin</p>

55 <p>Okay, lets begin</p>

57 <p>For calculating the largest equal volume, we have to calculate the GCF of 4 and 144.</p>

56 <p>For calculating the largest equal volume, we have to calculate the GCF of 4 and 144.</p>

58 <p>The GCF of 4 and 144 is 4.</p>

57 <p>The GCF of 4 and 144 is 4.</p>

59 <p>The volume of each container is 4 liters.</p>

58 <p>The volume of each container is 4 liters.</p>

60 <h3>Explanation</h3>

59 <h3>Explanation</h3>

61 <p>For calculating the largest volume of the containers, first, we need to calculate the GCF of 4 and 144, which is 4.</p>

60 <p>For calculating the largest volume of the containers, first, we need to calculate the GCF of 4 and 144, which is 4.</p>

62 <p>The volume of each container will be 4 liters.</p>

61 <p>The volume of each container will be 4 liters.</p>

63 <p>Well explained 👍</p>

62 <p>Well explained 👍</p>

64 <h3>Problem 4</h3>

63 <h3>Problem 4</h3>

65 <p>A carpenter has two wooden beams, one 4 meters long and the other 144 meters long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>

64 <p>A carpenter has two wooden beams, one 4 meters long and the other 144 meters long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>

66 <p>Okay, lets begin</p>

65 <p>Okay, lets begin</p>

67 <p>The carpenter needs the longest piece of wood. GCF of 4 and 144 is 4.</p>

66 <p>The carpenter needs the longest piece of wood. GCF of 4 and 144 is 4.</p>

68 <p>The longest length of each piece is 4 meters.</p>

67 <p>The longest length of each piece is 4 meters.</p>

69 <h3>Explanation</h3>

68 <h3>Explanation</h3>

70 <p>To find the longest length of each piece of the two wooden beams, 4 meters and 144 meters, respectively, we have to find the GCF of 4 and 144, which is 4 meters.</p>

69 <p>To find the longest length of each piece of the two wooden beams, 4 meters and 144 meters, respectively, we have to find the GCF of 4 and 144, which is 4 meters.</p>

71 <p>The longest length of each piece is 4 meters.</p>

70 <p>The longest length of each piece is 4 meters.</p>

72 <p>Well explained 👍</p>

71 <p>Well explained 👍</p>

73 <h3>Problem 5</h3>

72 <h3>Problem 5</h3>

74 <p>If the GCF of 4 and ‘a’ is 4, and the LCM is 144. Find ‘a’.</p>

73 <p>If the GCF of 4 and ‘a’ is 4, and the LCM is 144. Find ‘a’.</p>

75 <p>Okay, lets begin</p>

74 <p>Okay, lets begin</p>

76 <p>The value of ‘a’ is 144.</p>

75 <p>The value of ‘a’ is 144.</p>

77 <h3>Explanation</h3>

76 <h3>Explanation</h3>

78 <p>GCF x LCM = product of the numbers 4 × 144 = 4 × a</p>

77 <p>GCF x LCM = product of the numbers 4 × 144 = 4 × a</p>

79 <p>576 = 4a</p>

78 <p>576 = 4a</p>

80 <p>a = 576 ÷ 4 = 144</p>

79 <p>a = 576 ÷ 4 = 144</p>

81 <p>Well explained 👍</p>

80 <p>Well explained 👍</p>

82 <h2>FAQs on the Greatest Common Factor of 4 and 144</h2>

81 <h2>FAQs on the Greatest Common Factor of 4 and 144</h2>

83 <h3>1.What is the LCM of 4 and 144?</h3>

82 <h3>1.What is the LCM of 4 and 144?</h3>

84 <p>The LCM of 4 and 144 is 144.</p>

83 <p>The LCM of 4 and 144 is 144.</p>

85 <h3>2.Is 4 divisible by 2?</h3>

84 <h3>2.Is 4 divisible by 2?</h3>

86 <p>Yes, 4 is divisible by 2 because it is an even number.</p>

85 <p>Yes, 4 is divisible by 2 because it is an even number.</p>

87 <h3>3.What will be the GCF of any two prime numbers?</h3>

86 <h3>3.What will be the GCF of any two prime numbers?</h3>

88 <p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>

87 <p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>

89 <h3>4.What is the prime factorization of 144?</h3>

88 <h3>4.What is the prime factorization of 144?</h3>

90 <p>The prime factorization of 144 is 24 x 32.</p>

89 <p>The prime factorization of 144 is 24 x 32.</p>

91 <h3>5.Are 4 and 144 prime numbers?</h3>

90 <h3>5.Are 4 and 144 prime numbers?</h3>

92 <p>No, 4 and 144 are not prime numbers because both of them have more than two factors.</p>

91 <p>No, 4 and 144 are not prime numbers because both of them have more than two factors.</p>

93 <h2>Important Glossaries for GCF of 4 and 144</h2>

92 <h2>Important Glossaries for GCF of 4 and 144</h2>

94 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 4 are 1, 2, and 4.</li>

93 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 4 are 1, 2, and 4.</li>

95 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 4 are 4, 8, 12, 16, 20, and so on.</li>

94 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 4 are 4, 8, 12, 16, 20, and so on.</li>

96 </ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 144 are 2 and 3.</li>

95 </ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 144 are 2 and 3.</li>

97 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 12 is divided by 5, the remainder is 2, and the quotient is 2.</li>

96 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 12 is divided by 5, the remainder is 2, and the quotient is 2.</li>

98 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed the LCM. For example, the LCM of 4 and 144 is 144.</li>

97 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed the LCM. For example, the LCM of 4 and 144 is 144.</li>

99 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

98 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

100 <p>▶</p>

99 <p>▶</p>

101 <h2>Hiralee Lalitkumar Makwana</h2>

100 <h2>Hiralee Lalitkumar Makwana</h2>

102 <h3>About the Author</h3>

101 <h3>About the Author</h3>

103 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

102 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

104 <h3>Fun Fact</h3>

103 <h3>Fun Fact</h3>

105 <p>: She loves to read number jokes and games.</p>

104 <p>: She loves to read number jokes and games.</p>