What is the Greatest Common Factor of 31509 and 31522?

Greatest common factor (GCF) of 31509 and 31522 is 1.

GCF(31509,31522) = 1

We will now calculate the prime factors of 31509 and 31522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31509 and 31522.

How to find the GCF of 31509 and 31522?

We will first find the prime factorization of 31509 and 31522. After we will calculate the factors of 31509 and 31522 and find the biggest common factor number .

Step-1: Prime Factorization of 31509

Prime factors of 31509 are 3, 389. Prime factorization of 31509 in exponential form is:

31509 = 3⁴ × 389¹

Step-2: Prime Factorization of 31522

Prime factors of 31522 are 2, 15761. Prime factorization of 31522 in exponential form is:

31522 = 2¹ × 15761¹

Step-3: Factors of 31509

List of positive integer factors of 31509 that divides 31509 without a remainder.

1, 3, 9, 27, 81, 389, 1167, 3501, 10503

Step-4: Factors of 31522

List of positive integer factors of 31522 that divides 31509 without a remainder.

1, 2, 15761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31509 and 31522. The biggest common factor number is the GCF number.
So the greatest common factor 31509 and 31522 is 1.

Also check out the Least Common Multiple of 31509 and 31522