What is the Greatest Common Factor of 31624 and 31640?

Greatest common factor (GCF) of 31624 and 31640 is 8.

GCF(31624,31640) = 8

We will now calculate the prime factors of 31624 and 31640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31624 and 31640.

How to find the GCF of 31624 and 31640?

We will first find the prime factorization of 31624 and 31640. After we will calculate the factors of 31624 and 31640 and find the biggest common factor number .

Step-1: Prime Factorization of 31624

Prime factors of 31624 are 2, 59, 67. Prime factorization of 31624 in exponential form is:

31624 = 2³ × 59¹ × 67¹

Step-2: Prime Factorization of 31640

Prime factors of 31640 are 2, 5, 7, 113. Prime factorization of 31640 in exponential form is:

31640 = 2³ × 5¹ × 7¹ × 113¹

Step-3: Factors of 31624

List of positive integer factors of 31624 that divides 31624 without a remainder.

1, 2, 4, 8, 59, 67, 118, 134, 236, 268, 472, 536, 3953, 7906, 15812

Step-4: Factors of 31640

List of positive integer factors of 31640 that divides 31624 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 113, 140, 226, 280, 452, 565, 791, 904, 1130, 1582, 2260, 3164, 3955, 4520, 6328, 7910, 15820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31624 and 31640. The biggest common factor number is the GCF number.
So the greatest common factor 31624 and 31640 is 8.

Also check out the Least Common Multiple of 31624 and 31640