What is the Greatest Common Factor of 31604 and 31624?

Greatest common factor (GCF) of 31604 and 31624 is 4.

GCF(31604,31624) = 4

We will now calculate the prime factors of 31604 and 31624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31604 and 31624.

How to find the GCF of 31604 and 31624?

We will first find the prime factorization of 31604 and 31624. After we will calculate the factors of 31604 and 31624 and find the biggest common factor number .

Step-1: Prime Factorization of 31604

Prime factors of 31604 are 2, 7901. Prime factorization of 31604 in exponential form is:

31604 = 2² × 7901¹

Step-2: 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-3: Factors of 31604

List of positive integer factors of 31604 that divides 31604 without a remainder.

1, 2, 4, 7901, 15802

Step-4: Factors of 31624

List of positive integer factors of 31624 that divides 31604 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31604 and 31624. The biggest common factor number is the GCF number.
So the greatest common factor 31604 and 31624 is 4.

Also check out the Least Common Multiple of 31604 and 31624