What is the Greatest Common Factor of 53928 and 53948?

Greatest common factor (GCF) of 53928 and 53948 is 4.

GCF(53928,53948) = 4

We will now calculate the prime factors of 53928 and 53948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53928 and 53948.

How to find the GCF of 53928 and 53948?

We will first find the prime factorization of 53928 and 53948. After we will calculate the factors of 53928 and 53948 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 53948

Prime factors of 53948 are 2, 13487. Prime factorization of 53948 in exponential form is:

53948 = 2² × 13487¹

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 53948

List of positive integer factors of 53948 that divides 53928 without a remainder.

1, 2, 4, 13487, 26974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53928 and 53948. The biggest common factor number is the GCF number.
So the greatest common factor 53928 and 53948 is 4.

Also check out the Least Common Multiple of 53928 and 53948