What is the Greatest Common Factor of 57657 and 57666?

Greatest common factor (GCF) of 57657 and 57666 is 3.

GCF(57657,57666) = 3

We will now calculate the prime factors of 57657 and 57666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57657 and 57666.

How to find the GCF of 57657 and 57666?

We will first find the prime factorization of 57657 and 57666. After we will calculate the factors of 57657 and 57666 and find the biggest common factor number .

Step-1: Prime Factorization of 57657

Prime factors of 57657 are 3, 19219. Prime factorization of 57657 in exponential form is:

57657 = 3¹ × 19219¹

Step-2: Prime Factorization of 57666

Prime factors of 57666 are 2, 3, 7, 1373. Prime factorization of 57666 in exponential form is:

57666 = 2¹ × 3¹ × 7¹ × 1373¹

Step-3: Factors of 57657

List of positive integer factors of 57657 that divides 57657 without a remainder.

1, 3, 19219

Step-4: Factors of 57666

List of positive integer factors of 57666 that divides 57657 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1373, 2746, 4119, 8238, 9611, 19222, 28833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57657 and 57666. The biggest common factor number is the GCF number.
So the greatest common factor 57657 and 57666 is 3.

Also check out the Least Common Multiple of 57657 and 57666