What is the Greatest Common Factor of 57084 and 57094?

Greatest common factor (GCF) of 57084 and 57094 is 2.

GCF(57084,57094) = 2

We will now calculate the prime factors of 57084 and 57094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57084 and 57094.

How to find the GCF of 57084 and 57094?

We will first find the prime factorization of 57084 and 57094. After we will calculate the factors of 57084 and 57094 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 57094

Prime factors of 57094 are 2, 28547. Prime factorization of 57094 in exponential form is:

57094 = 2¹ × 28547¹

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 57094

List of positive integer factors of 57094 that divides 57084 without a remainder.

1, 2, 28547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57084 and 57094. The biggest common factor number is the GCF number.
So the greatest common factor 57084 and 57094 is 2.

Also check out the Least Common Multiple of 57084 and 57094