What is the Greatest Common Factor of 31626 and 31630?

Greatest common factor (GCF) of 31626 and 31630 is 2.

GCF(31626,31630) = 2

We will now calculate the prime factors of 31626 and 31630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31626 and 31630.

How to find the GCF of 31626 and 31630?

We will first find the prime factorization of 31626 and 31630. After we will calculate the factors of 31626 and 31630 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 31630

Prime factors of 31630 are 2, 5, 3163. Prime factorization of 31630 in exponential form is:

31630 = 2¹ × 5¹ × 3163¹

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 31630

List of positive integer factors of 31630 that divides 31626 without a remainder.

1, 2, 5, 10, 3163, 6326, 15815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31626 and 31630. The biggest common factor number is the GCF number.
So the greatest common factor 31626 and 31630 is 2.

Also check out the Least Common Multiple of 31626 and 31630