What is the Greatest Common Factor of 31645 and 31664?

Greatest common factor (GCF) of 31645 and 31664 is 1.

GCF(31645,31664) = 1

We will now calculate the prime factors of 31645 and 31664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31645 and 31664.

How to find the GCF of 31645 and 31664?

We will first find the prime factorization of 31645 and 31664. After we will calculate the factors of 31645 and 31664 and find the biggest common factor number .

Step-1: Prime Factorization of 31645

Prime factors of 31645 are 5, 6329. Prime factorization of 31645 in exponential form is:

31645 = 5¹ × 6329¹

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 31645

List of positive integer factors of 31645 that divides 31645 without a remainder.

1, 5, 6329

Step-4: Factors of 31664

List of positive integer factors of 31664 that divides 31645 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 31645 and 31664. The biggest common factor number is the GCF number.
So the greatest common factor 31645 and 31664 is 1.

Also check out the Least Common Multiple of 31645 and 31664