What is the Greatest Common Factor of 31589 and 31605?

Greatest common factor (GCF) of 31589 and 31605 is 1.

GCF(31589,31605) = 1

We will now calculate the prime factors of 31589 and 31605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31589 and 31605.

How to find the GCF of 31589 and 31605?

We will first find the prime factorization of 31589 and 31605. After we will calculate the factors of 31589 and 31605 and find the biggest common factor number .

Step-1: Prime Factorization of 31589

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

31589 = 31¹ × 1019¹

Step-2: Prime Factorization of 31605

Prime factors of 31605 are 3, 5, 7, 43. Prime factorization of 31605 in exponential form is:

31605 = 3¹ × 5¹ × 7² × 43¹

Step-3: Factors of 31589

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

1, 31, 1019

Step-4: Factors of 31605

List of positive integer factors of 31605 that divides 31589 without a remainder.

1, 3, 5, 7, 15, 21, 35, 43, 49, 105, 129, 147, 215, 245, 301, 645, 735, 903, 1505, 2107, 4515, 6321, 10535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31589 and 31605. The biggest common factor number is the GCF number.
So the greatest common factor 31589 and 31605 is 1.

Also check out the Least Common Multiple of 31589 and 31605