What is the Greatest Common Factor of 53928 and 53937?

Greatest common factor (GCF) of 53928 and 53937 is 9.

GCF(53928,53937) = 9

We will now calculate the prime factors of 53928 and 53937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53928 and 53937.

How to find the GCF of 53928 and 53937?

We will first find the prime factorization of 53928 and 53937. After we will calculate the factors of 53928 and 53937 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 53937

Prime factors of 53937 are 3, 13, 461. Prime factorization of 53937 in exponential form is:

53937 = 3² × 13¹ × 461¹

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 53937

List of positive integer factors of 53937 that divides 53928 without a remainder.

1, 3, 9, 13, 39, 117, 461, 1383, 4149, 5993, 17979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53928 and 53937. The biggest common factor number is the GCF number.
So the greatest common factor 53928 and 53937 is 9.

Also check out the Least Common Multiple of 53928 and 53937