What is the Greatest Common Factor of 57627 and 57646?

Greatest common factor (GCF) of 57627 and 57646 is 19.

GCF(57627,57646) = 19

We will now calculate the prime factors of 57627 and 57646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57627 and 57646.

How to find the GCF of 57627 and 57646?

We will first find the prime factorization of 57627 and 57646. After we will calculate the factors of 57627 and 57646 and find the biggest common factor number .

Step-1: Prime Factorization of 57627

Prime factors of 57627 are 3, 19, 337. Prime factorization of 57627 in exponential form is:

57627 = 3² × 19¹ × 337¹

Step-2: 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-3: Factors of 57627

List of positive integer factors of 57627 that divides 57627 without a remainder.

1, 3, 9, 19, 57, 171, 337, 1011, 3033, 6403, 19209

Step-4: Factors of 57646

List of positive integer factors of 57646 that divides 57627 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57627 and 57646. The biggest common factor number is the GCF number.
So the greatest common factor 57627 and 57646 is 19.

Also check out the Least Common Multiple of 57627 and 57646