What is the Greatest Common Factor of 57002 and 57006?

Greatest common factor (GCF) of 57002 and 57006 is 2.

GCF(57002,57006) = 2

We will now calculate the prime factors of 57002 and 57006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57002 and 57006.

How to find the GCF of 57002 and 57006?

We will first find the prime factorization of 57002 and 57006. After we will calculate the factors of 57002 and 57006 and find the biggest common factor number .

Step-1: Prime Factorization of 57002

Prime factors of 57002 are 2, 11, 2591. Prime factorization of 57002 in exponential form is:

57002 = 2¹ × 11¹ × 2591¹

Step-2: Prime Factorization of 57006

Prime factors of 57006 are 2, 3, 3167. Prime factorization of 57006 in exponential form is:

57006 = 2¹ × 3² × 3167¹

Step-3: Factors of 57002

List of positive integer factors of 57002 that divides 57002 without a remainder.

1, 2, 11, 22, 2591, 5182, 28501

Step-4: Factors of 57006

List of positive integer factors of 57006 that divides 57002 without a remainder.

1, 2, 3, 6, 9, 18, 3167, 6334, 9501, 19002, 28503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57002 and 57006. The biggest common factor number is the GCF number.
So the greatest common factor 57002 and 57006 is 2.

Also check out the Least Common Multiple of 57002 and 57006