What is the Greatest Common Factor of 31626 and 31631?

Greatest common factor (GCF) of 31626 and 31631 is 1.

GCF(31626,31631) = 1

We will now calculate the prime factors of 31626 and 31631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31626 and 31631.

How to find the GCF of 31626 and 31631?

We will first find the prime factorization of 31626 and 31631. After we will calculate the factors of 31626 and 31631 and find the biggest common factor number .

Step-1: Prime Factorization of 31626

Prime factors of 31626 are 2, 3, 7, 251. Prime factorization of 31626 in exponential form is:

31626 = 2¹ × 3² × 7¹ × 251¹

Step-2: Prime Factorization of 31631

Prime factors of 31631 are 47, 673. Prime factorization of 31631 in exponential form is:

31631 = 47¹ × 673¹

Step-3: Factors of 31626

List of positive integer factors of 31626 that divides 31626 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 251, 502, 753, 1506, 1757, 2259, 3514, 4518, 5271, 10542, 15813

Step-4: Factors of 31631

List of positive integer factors of 31631 that divides 31626 without a remainder.

1, 47, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31626 and 31631. The biggest common factor number is the GCF number.
So the greatest common factor 31626 and 31631 is 1.

Also check out the Least Common Multiple of 31626 and 31631