What is the Greatest Common Factor of 31563 and 31567?

Greatest common factor (GCF) of 31563 and 31567 is 1.

GCF(31563,31567) = 1

We will now calculate the prime factors of 31563 and 31567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31563 and 31567.

How to find the GCF of 31563 and 31567?

We will first find the prime factorization of 31563 and 31567. After we will calculate the factors of 31563 and 31567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31567

Prime factors of 31567 are 31567. Prime factorization of 31567 in exponential form is:

31567 = 31567¹

Step-3: Factors of 31563

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

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

Step-4: Factors of 31567

List of positive integer factors of 31567 that divides 31563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31563 and 31567. The biggest common factor number is the GCF number.
So the greatest common factor 31563 and 31567 is 1.

Also check out the Least Common Multiple of 31563 and 31567