What is the Greatest Common Factor of 57631 and 57638?

Greatest common factor (GCF) of 57631 and 57638 is 7.

GCF(57631,57638) = 7

We will now calculate the prime factors of 57631 and 57638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57631 and 57638.

How to find the GCF of 57631 and 57638?

We will first find the prime factorization of 57631 and 57638. After we will calculate the factors of 57631 and 57638 and find the biggest common factor number .

Step-1: Prime Factorization of 57631

Prime factors of 57631 are 7, 8233. Prime factorization of 57631 in exponential form is:

57631 = 7¹ × 8233¹

Step-2: Prime Factorization of 57638

Prime factors of 57638 are 2, 7, 23, 179. Prime factorization of 57638 in exponential form is:

57638 = 2¹ × 7¹ × 23¹ × 179¹

Step-3: Factors of 57631

List of positive integer factors of 57631 that divides 57631 without a remainder.

1, 7, 8233

Step-4: Factors of 57638

List of positive integer factors of 57638 that divides 57631 without a remainder.

1, 2, 7, 14, 23, 46, 161, 179, 322, 358, 1253, 2506, 4117, 8234, 28819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57631 and 57638. The biggest common factor number is the GCF number.
So the greatest common factor 57631 and 57638 is 7.

Also check out the Least Common Multiple of 57631 and 57638