What is the Greatest Common Factor of 31602 and 31616?

Greatest common factor (GCF) of 31602 and 31616 is 2.

GCF(31602,31616) = 2

We will now calculate the prime factors of 31602 and 31616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31602 and 31616.

How to find the GCF of 31602 and 31616?

We will first find the prime factorization of 31602 and 31616. After we will calculate the factors of 31602 and 31616 and find the biggest common factor number .

Step-1: Prime Factorization of 31602

Prime factors of 31602 are 2, 3, 23, 229. Prime factorization of 31602 in exponential form is:

31602 = 2¹ × 3¹ × 23¹ × 229¹

Step-2: 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-3: Factors of 31602

List of positive integer factors of 31602 that divides 31602 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 229, 458, 687, 1374, 5267, 10534, 15801

Step-4: Factors of 31616

List of positive integer factors of 31616 that divides 31602 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31602 and 31616. The biggest common factor number is the GCF number.
So the greatest common factor 31602 and 31616 is 2.

Also check out the Least Common Multiple of 31602 and 31616