What is the Greatest Common Factor of 71631 and 71651?

Greatest common factor (GCF) of 71631 and 71651 is 1.

GCF(71631,71651) = 1

We will now calculate the prime factors of 71631 and 71651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71631 and 71651.

How to find the GCF of 71631 and 71651?

We will first find the prime factorization of 71631 and 71651. After we will calculate the factors of 71631 and 71651 and find the biggest common factor number .

Step-1: Prime Factorization of 71631

Prime factors of 71631 are 3, 7, 379. Prime factorization of 71631 in exponential form is:

71631 = 3³ × 7¹ × 379¹

Step-2: Prime Factorization of 71651

Prime factors of 71651 are 137, 523. Prime factorization of 71651 in exponential form is:

71651 = 137¹ × 523¹

Step-3: Factors of 71631

List of positive integer factors of 71631 that divides 71631 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 379, 1137, 2653, 3411, 7959, 10233, 23877

Step-4: Factors of 71651

List of positive integer factors of 71651 that divides 71631 without a remainder.

1, 137, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71631 and 71651. The biggest common factor number is the GCF number.
So the greatest common factor 71631 and 71651 is 1.

Also check out the Least Common Multiple of 71631 and 71651