What is the Greatest Common Factor of 31659 and 31664?

Greatest common factor (GCF) of 31659 and 31664 is 1.

GCF(31659,31664) = 1

We will now calculate the prime factors of 31659 and 31664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31659 and 31664.

How to find the GCF of 31659 and 31664?

We will first find the prime factorization of 31659 and 31664. After we will calculate the factors of 31659 and 31664 and find the biggest common factor number .

Step-1: Prime Factorization of 31659

Prime factors of 31659 are 3, 61, 173. Prime factorization of 31659 in exponential form is:

31659 = 3¹ × 61¹ × 173¹

Step-2: Prime Factorization of 31664

Prime factors of 31664 are 2, 1979. Prime factorization of 31664 in exponential form is:

31664 = 2⁴ × 1979¹

Step-3: Factors of 31659

List of positive integer factors of 31659 that divides 31659 without a remainder.

1, 3, 61, 173, 183, 519, 10553

Step-4: Factors of 31664

List of positive integer factors of 31664 that divides 31659 without a remainder.

1, 2, 4, 8, 16, 1979, 3958, 7916, 15832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31659 and 31664. The biggest common factor number is the GCF number.
So the greatest common factor 31659 and 31664 is 1.

Also check out the Least Common Multiple of 31659 and 31664