What is the Greatest Common Factor of 31590 and 31607?

Greatest common factor (GCF) of 31590 and 31607 is 1.

GCF(31590,31607) = 1

We will now calculate the prime factors of 31590 and 31607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31590 and 31607.

How to find the GCF of 31590 and 31607?

We will first find the prime factorization of 31590 and 31607. After we will calculate the factors of 31590 and 31607 and find the biggest common factor number .

Step-1: Prime Factorization of 31590

Prime factors of 31590 are 2, 3, 5, 13. Prime factorization of 31590 in exponential form is:

31590 = 2¹ × 3⁵ × 5¹ × 13¹

Step-2: Prime Factorization of 31607

Prime factors of 31607 are 31607. Prime factorization of 31607 in exponential form is:

31607 = 31607¹

Step-3: Factors of 31590

List of positive integer factors of 31590 that divides 31590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 243, 270, 351, 390, 405, 486, 585, 702, 810, 1053, 1170, 1215, 1755, 2106, 2430, 3159, 3510, 5265, 6318, 10530, 15795

Step-4: Factors of 31607

List of positive integer factors of 31607 that divides 31590 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31590 and 31607. The biggest common factor number is the GCF number.
So the greatest common factor 31590 and 31607 is 1.

Also check out the Least Common Multiple of 31590 and 31607