What is the Greatest Common Factor of 57072 and 57084?

Greatest common factor (GCF) of 57072 and 57084 is 12.

GCF(57072,57084) = 12

We will now calculate the prime factors of 57072 and 57084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57072 and 57084.

How to find the GCF of 57072 and 57084?

We will first find the prime factorization of 57072 and 57084. After we will calculate the factors of 57072 and 57084 and find the biggest common factor number .

Step-1: Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 2⁴ × 3¹ × 29¹ × 41¹

Step-2: Prime Factorization of 57084

Prime factors of 57084 are 2, 3, 67, 71. Prime factorization of 57084 in exponential form is:

57084 = 2² × 3¹ × 67¹ × 71¹

Step-3: Factors of 57072

List of positive integer factors of 57072 that divides 57072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536

Step-4: Factors of 57084

List of positive integer factors of 57084 that divides 57072 without a remainder.

1, 2, 3, 4, 6, 12, 67, 71, 134, 142, 201, 213, 268, 284, 402, 426, 804, 852, 4757, 9514, 14271, 19028, 28542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57072 and 57084. The biggest common factor number is the GCF number.
So the greatest common factor 57072 and 57084 is 12.

Also check out the Least Common Multiple of 57072 and 57084