What is the Greatest Common Factor of 57084 and 57102?

Greatest common factor (GCF) of 57084 and 57102 is 6.

GCF(57084,57102) = 6

We will now calculate the prime factors of 57084 and 57102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57084 and 57102.

How to find the GCF of 57084 and 57102?

We will first find the prime factorization of 57084 and 57102. After we will calculate the factors of 57084 and 57102 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 57102

Prime factors of 57102 are 2, 3, 31, 307. Prime factorization of 57102 in exponential form is:

57102 = 2¹ × 3¹ × 31¹ × 307¹

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 57102

List of positive integer factors of 57102 that divides 57084 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 307, 614, 921, 1842, 9517, 19034, 28551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57084 and 57102. The biggest common factor number is the GCF number.
So the greatest common factor 57084 and 57102 is 6.

Also check out the Least Common Multiple of 57084 and 57102