What is the Greatest Common Factor of 57372 and 57384?

Greatest common factor (GCF) of 57372 and 57384 is 12.

GCF(57372,57384) = 12

We will now calculate the prime factors of 57372 and 57384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57372 and 57384.

How to find the GCF of 57372 and 57384?

We will first find the prime factorization of 57372 and 57384. After we will calculate the factors of 57372 and 57384 and find the biggest common factor number .

Step-1: Prime Factorization of 57372

Prime factors of 57372 are 2, 3, 7, 683. Prime factorization of 57372 in exponential form is:

57372 = 2² × 3¹ × 7¹ × 683¹

Step-2: 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-3: Factors of 57372

List of positive integer factors of 57372 that divides 57372 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 683, 1366, 2049, 2732, 4098, 4781, 8196, 9562, 14343, 19124, 28686

Step-4: Factors of 57384

List of positive integer factors of 57384 that divides 57372 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57372 and 57384. The biggest common factor number is the GCF number.
So the greatest common factor 57372 and 57384 is 12.

Also check out the Least Common Multiple of 57372 and 57384