What is the Greatest Common Factor of 53928 and 53932?

Greatest common factor (GCF) of 53928 and 53932 is 4.

GCF(53928,53932) = 4

We will now calculate the prime factors of 53928 and 53932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53928 and 53932.

How to find the GCF of 53928 and 53932?

We will first find the prime factorization of 53928 and 53932. After we will calculate the factors of 53928 and 53932 and find the biggest common factor number .

Step-1: Prime Factorization of 53928

Prime factors of 53928 are 2, 3, 7, 107. Prime factorization of 53928 in exponential form is:

53928 = 2³ × 3² × 7¹ × 107¹

Step-2: Prime Factorization of 53932

Prime factors of 53932 are 2, 97, 139. Prime factorization of 53932 in exponential form is:

53932 = 2² × 97¹ × 139¹

Step-3: Factors of 53928

List of positive integer factors of 53928 that divides 53928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 107, 126, 168, 214, 252, 321, 428, 504, 642, 749, 856, 963, 1284, 1498, 1926, 2247, 2568, 2996, 3852, 4494, 5992, 6741, 7704, 8988, 13482, 17976, 26964

Step-4: Factors of 53932

List of positive integer factors of 53932 that divides 53928 without a remainder.

1, 2, 4, 97, 139, 194, 278, 388, 556, 13483, 26966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53928 and 53932. The biggest common factor number is the GCF number.
So the greatest common factor 53928 and 53932 is 4.

Also check out the Least Common Multiple of 53928 and 53932