What is the Greatest Common Factor of 57936 and 57948?

Greatest common factor (GCF) of 57936 and 57948 is 12.

GCF(57936,57948) = 12

We will now calculate the prime factors of 57936 and 57948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57936 and 57948.

How to find the GCF of 57936 and 57948?

We will first find the prime factorization of 57936 and 57948. After we will calculate the factors of 57936 and 57948 and find the biggest common factor number .

Step-1: Prime Factorization of 57936

Prime factors of 57936 are 2, 3, 17, 71. Prime factorization of 57936 in exponential form is:

57936 = 2⁴ × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 57948

Prime factors of 57948 are 2, 3, 11, 439. Prime factorization of 57948 in exponential form is:

57948 = 2² × 3¹ × 11¹ × 439¹

Step-3: Factors of 57936

List of positive integer factors of 57936 that divides 57936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 71, 102, 136, 142, 204, 213, 272, 284, 408, 426, 568, 816, 852, 1136, 1207, 1704, 2414, 3408, 3621, 4828, 7242, 9656, 14484, 19312, 28968

Step-4: Factors of 57948

List of positive integer factors of 57948 that divides 57936 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 439, 878, 1317, 1756, 2634, 4829, 5268, 9658, 14487, 19316, 28974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57936 and 57948. The biggest common factor number is the GCF number.
So the greatest common factor 57936 and 57948 is 12.

Also check out the Least Common Multiple of 57936 and 57948