What is the Greatest Common Factor of 53376 and 53388?

Greatest common factor (GCF) of 53376 and 53388 is 12.

GCF(53376,53388) = 12

We will now calculate the prime factors of 53376 and 53388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53376 and 53388.

How to find the GCF of 53376 and 53388?

We will first find the prime factorization of 53376 and 53388. After we will calculate the factors of 53376 and 53388 and find the biggest common factor number .

Step-1: Prime Factorization of 53376

Prime factors of 53376 are 2, 3, 139. Prime factorization of 53376 in exponential form is:

53376 = 2⁷ × 3¹ × 139¹

Step-2: Prime Factorization of 53388

Prime factors of 53388 are 2, 3, 1483. Prime factorization of 53388 in exponential form is:

53388 = 2² × 3² × 1483¹

Step-3: Factors of 53376

List of positive integer factors of 53376 that divides 53376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 139, 192, 278, 384, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672, 8896, 13344, 17792, 26688

Step-4: Factors of 53388

List of positive integer factors of 53388 that divides 53376 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1483, 2966, 4449, 5932, 8898, 13347, 17796, 26694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53376 and 53388. The biggest common factor number is the GCF number.
So the greatest common factor 53376 and 53388 is 12.

Also check out the Least Common Multiple of 53376 and 53388