What is the Greatest Common Factor of 31545 and 31563?

Greatest common factor (GCF) of 31545 and 31563 is 9.

GCF(31545,31563) = 9

We will now calculate the prime factors of 31545 and 31563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31545 and 31563.

How to find the GCF of 31545 and 31563?

We will first find the prime factorization of 31545 and 31563. After we will calculate the factors of 31545 and 31563 and find the biggest common factor number .

Step-1: Prime Factorization of 31545

Prime factors of 31545 are 3, 5, 701. Prime factorization of 31545 in exponential form is:

31545 = 3² × 5¹ × 701¹

Step-2: Prime Factorization of 31563

Prime factors of 31563 are 3, 7, 167. Prime factorization of 31563 in exponential form is:

31563 = 3³ × 7¹ × 167¹

Step-3: Factors of 31545

List of positive integer factors of 31545 that divides 31545 without a remainder.

1, 3, 5, 9, 15, 45, 701, 2103, 3505, 6309, 10515

Step-4: Factors of 31563

List of positive integer factors of 31563 that divides 31545 without a remainder.

1, 3, 7, 9, 21, 27, 63, 167, 189, 501, 1169, 1503, 3507, 4509, 10521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31545 and 31563. The biggest common factor number is the GCF number.
So the greatest common factor 31545 and 31563 is 9.

Also check out the Least Common Multiple of 31545 and 31563