What is the Greatest Common Factor of 31596 and 31611?

Greatest common factor (GCF) of 31596 and 31611 is 3.

GCF(31596,31611) = 3

We will now calculate the prime factors of 31596 and 31611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31596 and 31611.

How to find the GCF of 31596 and 31611?

We will first find the prime factorization of 31596 and 31611. After we will calculate the factors of 31596 and 31611 and find the biggest common factor number .

Step-1: Prime Factorization of 31596

Prime factors of 31596 are 2, 3, 2633. Prime factorization of 31596 in exponential form is:

31596 = 2² × 3¹ × 2633¹

Step-2: Prime Factorization of 31611

Prime factors of 31611 are 3, 41, 257. Prime factorization of 31611 in exponential form is:

31611 = 3¹ × 41¹ × 257¹

Step-3: Factors of 31596

List of positive integer factors of 31596 that divides 31596 without a remainder.

1, 2, 3, 4, 6, 12, 2633, 5266, 7899, 10532, 15798

Step-4: Factors of 31611

List of positive integer factors of 31611 that divides 31596 without a remainder.

1, 3, 41, 123, 257, 771, 10537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31596 and 31611. The biggest common factor number is the GCF number.
So the greatest common factor 31596 and 31611 is 3.

Also check out the Least Common Multiple of 31596 and 31611