What is the Greatest Common Factor of 31616 and 31623?

Greatest common factor (GCF) of 31616 and 31623 is 1.

GCF(31616,31623) = 1

We will now calculate the prime factors of 31616 and 31623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31616 and 31623.

How to find the GCF of 31616 and 31623?

We will first find the prime factorization of 31616 and 31623. After we will calculate the factors of 31616 and 31623 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 31623

Prime factors of 31623 are 3, 83, 127. Prime factorization of 31623 in exponential form is:

31623 = 3¹ × 83¹ × 127¹

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 31623

List of positive integer factors of 31623 that divides 31616 without a remainder.

1, 3, 83, 127, 249, 381, 10541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31616 and 31623. The biggest common factor number is the GCF number.
So the greatest common factor 31616 and 31623 is 1.

Also check out the Least Common Multiple of 31616 and 31623