What is the Greatest Common Factor of 57084 and 57096?

Greatest common factor (GCF) of 57084 and 57096 is 12.

GCF(57084,57096) = 12

We will now calculate the prime factors of 57084 and 57096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57084 and 57096.

How to find the GCF of 57084 and 57096?

We will first find the prime factorization of 57084 and 57096. After we will calculate the factors of 57084 and 57096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57096

Prime factors of 57096 are 2, 3, 13, 61. Prime factorization of 57096 in exponential form is:

57096 = 2³ × 3² × 13¹ × 61¹

Step-3: Factors of 57084

List of positive integer factors of 57084 that divides 57084 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

Step-4: Factors of 57096

List of positive integer factors of 57096 that divides 57084 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 61, 72, 78, 104, 117, 122, 156, 183, 234, 244, 312, 366, 468, 488, 549, 732, 793, 936, 1098, 1464, 1586, 2196, 2379, 3172, 4392, 4758, 6344, 7137, 9516, 14274, 19032, 28548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57084 and 57096. The biggest common factor number is the GCF number.
So the greatest common factor 57084 and 57096 is 12.

Also check out the Least Common Multiple of 57084 and 57096