What is the Greatest Common Factor of 31588 and 31608?

Greatest common factor (GCF) of 31588 and 31608 is 4.

GCF(31588,31608) = 4

We will now calculate the prime factors of 31588 and 31608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31588 and 31608.

How to find the GCF of 31588 and 31608?

We will first find the prime factorization of 31588 and 31608. After we will calculate the factors of 31588 and 31608 and find the biggest common factor number .

Step-1: Prime Factorization of 31588

Prime factors of 31588 are 2, 53, 149. Prime factorization of 31588 in exponential form is:

31588 = 2² × 53¹ × 149¹

Step-2: Prime Factorization of 31608

Prime factors of 31608 are 2, 3, 439. Prime factorization of 31608 in exponential form is:

31608 = 2³ × 3² × 439¹

Step-3: Factors of 31588

List of positive integer factors of 31588 that divides 31588 without a remainder.

1, 2, 4, 53, 106, 149, 212, 298, 596, 7897, 15794

Step-4: Factors of 31608

List of positive integer factors of 31608 that divides 31588 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 439, 878, 1317, 1756, 2634, 3512, 3951, 5268, 7902, 10536, 15804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31588 and 31608. The biggest common factor number is the GCF number.
So the greatest common factor 31588 and 31608 is 4.

Also check out the Least Common Multiple of 31588 and 31608