What is the Greatest Common Factor of 31617 and 31635?

Greatest common factor (GCF) of 31617 and 31635 is 9.

GCF(31617,31635) = 9

We will now calculate the prime factors of 31617 and 31635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31617 and 31635.

How to find the GCF of 31617 and 31635?

We will first find the prime factorization of 31617 and 31635. After we will calculate the factors of 31617 and 31635 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 31635

Prime factors of 31635 are 3, 5, 19, 37. Prime factorization of 31635 in exponential form is:

31635 = 3² × 5¹ × 19¹ × 37¹

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 31635

List of positive integer factors of 31635 that divides 31617 without a remainder.

1, 3, 5, 9, 15, 19, 37, 45, 57, 95, 111, 171, 185, 285, 333, 555, 703, 855, 1665, 2109, 3515, 6327, 10545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31617 and 31635. The biggest common factor number is the GCF number.
So the greatest common factor 31617 and 31635 is 9.

Also check out the Least Common Multiple of 31617 and 31635