What is the Greatest Common Factor of 31582 and 31589?

Greatest common factor (GCF) of 31582 and 31589 is 1.

GCF(31582,31589) = 1

We will now calculate the prime factors of 31582 and 31589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31582 and 31589.

How to find the GCF of 31582 and 31589?

We will first find the prime factorization of 31582 and 31589. After we will calculate the factors of 31582 and 31589 and find the biggest common factor number .

Step-1: Prime Factorization of 31582

Prime factors of 31582 are 2, 15791. Prime factorization of 31582 in exponential form is:

31582 = 2¹ × 15791¹

Step-2: Prime Factorization of 31589

Prime factors of 31589 are 31, 1019. Prime factorization of 31589 in exponential form is:

31589 = 31¹ × 1019¹

Step-3: Factors of 31582

List of positive integer factors of 31582 that divides 31582 without a remainder.

1, 2, 15791

Step-4: Factors of 31589

List of positive integer factors of 31589 that divides 31582 without a remainder.

1, 31, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31582 and 31589. The biggest common factor number is the GCF number.
So the greatest common factor 31582 and 31589 is 1.

Also check out the Least Common Multiple of 31582 and 31589