What is the Greatest Common Factor of 57084 and 57095?

Greatest common factor (GCF) of 57084 and 57095 is 1.

GCF(57084,57095) = 1

We will now calculate the prime factors of 57084 and 57095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57084 and 57095.

How to find the GCF of 57084 and 57095?

We will first find the prime factorization of 57084 and 57095. After we will calculate the factors of 57084 and 57095 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 57095

Prime factors of 57095 are 5, 19, 601. Prime factorization of 57095 in exponential form is:

57095 = 5¹ × 19¹ × 601¹

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 57095

List of positive integer factors of 57095 that divides 57084 without a remainder.

1, 5, 19, 95, 601, 3005, 11419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57084 and 57095. The biggest common factor number is the GCF number.
So the greatest common factor 57084 and 57095 is 1.

Also check out the Least Common Multiple of 57084 and 57095