What is the Greatest Common Factor of 57384 and 57396?

Greatest common factor (GCF) of 57384 and 57396 is 12.

GCF(57384,57396) = 12

We will now calculate the prime factors of 57384 and 57396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57384 and 57396.

How to find the GCF of 57384 and 57396?

We will first find the prime factorization of 57384 and 57396. After we will calculate the factors of 57384 and 57396 and find the biggest common factor number .

Step-1: Prime Factorization of 57384

Prime factors of 57384 are 2, 3, 797. Prime factorization of 57384 in exponential form is:

57384 = 2³ × 3² × 797¹

Step-2: Prime Factorization of 57396

Prime factors of 57396 are 2, 3, 4783. Prime factorization of 57396 in exponential form is:

57396 = 2² × 3¹ × 4783¹

Step-3: Factors of 57384

List of positive integer factors of 57384 that divides 57384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 797, 1594, 2391, 3188, 4782, 6376, 7173, 9564, 14346, 19128, 28692

Step-4: Factors of 57396

List of positive integer factors of 57396 that divides 57384 without a remainder.

1, 2, 3, 4, 6, 12, 4783, 9566, 14349, 19132, 28698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57384 and 57396. The biggest common factor number is the GCF number.
So the greatest common factor 57384 and 57396 is 12.

Also check out the Least Common Multiple of 57384 and 57396