What is the Greatest Common Factor of 57666 and 57678?

Greatest common factor (GCF) of 57666 and 57678 is 6.

GCF(57666,57678) = 6

We will now calculate the prime factors of 57666 and 57678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57666 and 57678.

How to find the GCF of 57666 and 57678?

We will first find the prime factorization of 57666 and 57678. After we will calculate the factors of 57666 and 57678 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57678

Prime factors of 57678 are 2, 3, 9613. Prime factorization of 57678 in exponential form is:

57678 = 2¹ × 3¹ × 9613¹

Step-3: Factors of 57666

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

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

Step-4: Factors of 57678

List of positive integer factors of 57678 that divides 57666 without a remainder.

1, 2, 3, 6, 9613, 19226, 28839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57666 and 57678. The biggest common factor number is the GCF number.
So the greatest common factor 57666 and 57678 is 6.

Also check out the Least Common Multiple of 57666 and 57678