What is the Greatest Common Factor of 31509 and 31529?

Greatest common factor (GCF) of 31509 and 31529 is 1.

GCF(31509,31529) = 1

We will now calculate the prime factors of 31509 and 31529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31509 and 31529.

How to find the GCF of 31509 and 31529?

We will first find the prime factorization of 31509 and 31529. After we will calculate the factors of 31509 and 31529 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 31529

Prime factors of 31529 are 41, 769. Prime factorization of 31529 in exponential form is:

31529 = 41¹ × 769¹

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 31529

List of positive integer factors of 31529 that divides 31509 without a remainder.

1, 41, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31509 and 31529. The biggest common factor number is the GCF number.
So the greatest common factor 31509 and 31529 is 1.

Also check out the Least Common Multiple of 31509 and 31529