What is the Greatest Common Factor of 31617 and 31626?

Greatest common factor (GCF) of 31617 and 31626 is 9.

GCF(31617,31626) = 9

We will now calculate the prime factors of 31617 and 31626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31617 and 31626.

How to find the GCF of 31617 and 31626?

We will first find the prime factorization of 31617 and 31626. After we will calculate the factors of 31617 and 31626 and find the biggest common factor number .

Step-1: Prime Factorization of 31617

Prime factors of 31617 are 3, 1171. Prime factorization of 31617 in exponential form is:

31617 = 3³ × 1171¹

Step-2: 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-3: Factors of 31617

List of positive integer factors of 31617 that divides 31617 without a remainder.

1, 3, 9, 27, 1171, 3513, 10539

Step-4: Factors of 31626

List of positive integer factors of 31626 that divides 31617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31617 and 31626. The biggest common factor number is the GCF number.
So the greatest common factor 31617 and 31626 is 9.

Also check out the Least Common Multiple of 31617 and 31626