What is the Greatest Common Factor of 57646 and 57665?

Greatest common factor (GCF) of 57646 and 57665 is 19.

GCF(57646,57665) = 19

We will now calculate the prime factors of 57646 and 57665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57646 and 57665.

How to find the GCF of 57646 and 57665?

We will first find the prime factorization of 57646 and 57665. After we will calculate the factors of 57646 and 57665 and find the biggest common factor number .

Step-1: Prime Factorization of 57646

Prime factors of 57646 are 2, 19, 37, 41. Prime factorization of 57646 in exponential form is:

57646 = 2¹ × 19¹ × 37¹ × 41¹

Step-2: Prime Factorization of 57665

Prime factors of 57665 are 5, 19, 607. Prime factorization of 57665 in exponential form is:

57665 = 5¹ × 19¹ × 607¹

Step-3: Factors of 57646

List of positive integer factors of 57646 that divides 57646 without a remainder.

1, 2, 19, 37, 38, 41, 74, 82, 703, 779, 1406, 1517, 1558, 3034, 28823

Step-4: Factors of 57665

List of positive integer factors of 57665 that divides 57646 without a remainder.

1, 5, 19, 95, 607, 3035, 11533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57646 and 57665. The biggest common factor number is the GCF number.
So the greatest common factor 57646 and 57665 is 19.

Also check out the Least Common Multiple of 57646 and 57665