What is the Greatest Common Factor of 31616 and 31621?

Greatest common factor (GCF) of 31616 and 31621 is 1.

GCF(31616,31621) = 1

We will now calculate the prime factors of 31616 and 31621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31616 and 31621.

How to find the GCF of 31616 and 31621?

We will first find the prime factorization of 31616 and 31621. After we will calculate the factors of 31616 and 31621 and find the biggest common factor number .

Step-1: Prime Factorization of 31616

Prime factors of 31616 are 2, 13, 19. Prime factorization of 31616 in exponential form is:

31616 = 2⁷ × 13¹ × 19¹

Step-2: Prime Factorization of 31621

Prime factors of 31621 are 103, 307. Prime factorization of 31621 in exponential form is:

31621 = 103¹ × 307¹

Step-3: Factors of 31616

List of positive integer factors of 31616 that divides 31616 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 64, 76, 104, 128, 152, 208, 247, 304, 416, 494, 608, 832, 988, 1216, 1664, 1976, 2432, 3952, 7904, 15808

Step-4: Factors of 31621

List of positive integer factors of 31621 that divides 31616 without a remainder.

1, 103, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31616 and 31621. The biggest common factor number is the GCF number.
So the greatest common factor 31616 and 31621 is 1.

Also check out the Least Common Multiple of 31616 and 31621