What is the Greatest Common Factor of 53914 and 53928?

Greatest common factor (GCF) of 53914 and 53928 is 14.

GCF(53914,53928) = 14

We will now calculate the prime factors of 53914 and 53928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53914 and 53928.

How to find the GCF of 53914 and 53928?

We will first find the prime factorization of 53914 and 53928. After we will calculate the factors of 53914 and 53928 and find the biggest common factor number .

Step-1: Prime Factorization of 53914

Prime factors of 53914 are 2, 7, 3851. Prime factorization of 53914 in exponential form is:

53914 = 2¹ × 7¹ × 3851¹

Step-2: 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-3: Factors of 53914

List of positive integer factors of 53914 that divides 53914 without a remainder.

1, 2, 7, 14, 3851, 7702, 26957

Step-4: Factors of 53928

List of positive integer factors of 53928 that divides 53914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53914 and 53928. The biggest common factor number is the GCF number.
So the greatest common factor 53914 and 53928 is 14.

Also check out the Least Common Multiple of 53914 and 53928