What is the Greatest Common Factor of 31616 and 31632?

Greatest common factor (GCF) of 31616 and 31632 is 16.

GCF(31616,31632) = 16

We will now calculate the prime factors of 31616 and 31632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31616 and 31632.

How to find the GCF of 31616 and 31632?

We will first find the prime factorization of 31616 and 31632. After we will calculate the factors of 31616 and 31632 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 31632

Prime factors of 31632 are 2, 3, 659. Prime factorization of 31632 in exponential form is:

31632 = 2⁴ × 3¹ × 659¹

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 31632

List of positive integer factors of 31632 that divides 31616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 659, 1318, 1977, 2636, 3954, 5272, 7908, 10544, 15816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31616 and 31632. The biggest common factor number is the GCF number.
So the greatest common factor 31616 and 31632 is 16.

Also check out the Least Common Multiple of 31616 and 31632