What is the Greatest Common Factor of 31549 and 31563?

Greatest common factor (GCF) of 31549 and 31563 is 7.

GCF(31549,31563) = 7

We will now calculate the prime factors of 31549 and 31563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31549 and 31563.

How to find the GCF of 31549 and 31563?

We will first find the prime factorization of 31549 and 31563. After we will calculate the factors of 31549 and 31563 and find the biggest common factor number .

Step-1: Prime Factorization of 31549

Prime factors of 31549 are 7, 4507. Prime factorization of 31549 in exponential form is:

31549 = 7¹ × 4507¹

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 31549

List of positive integer factors of 31549 that divides 31549 without a remainder.

1, 7, 4507

Step-4: Factors of 31563

List of positive integer factors of 31563 that divides 31549 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 31549 and 31563. The biggest common factor number is the GCF number.
So the greatest common factor 31549 and 31563 is 7.

Also check out the Least Common Multiple of 31549 and 31563