What is the Greatest Common Factor of 31598 and 31604?

Greatest common factor (GCF) of 31598 and 31604 is 2.

GCF(31598,31604) = 2

We will now calculate the prime factors of 31598 and 31604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31598 and 31604.

How to find the GCF of 31598 and 31604?

We will first find the prime factorization of 31598 and 31604. After we will calculate the factors of 31598 and 31604 and find the biggest common factor number .

Step-1: Prime Factorization of 31598

Prime factors of 31598 are 2, 7, 37, 61. Prime factorization of 31598 in exponential form is:

31598 = 2¹ × 7¹ × 37¹ × 61¹

Step-2: Prime Factorization of 31604

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

31604 = 2² × 7901¹

Step-3: Factors of 31598

List of positive integer factors of 31598 that divides 31598 without a remainder.

1, 2, 7, 14, 37, 61, 74, 122, 259, 427, 518, 854, 2257, 4514, 15799

Step-4: Factors of 31604

List of positive integer factors of 31604 that divides 31598 without a remainder.

1, 2, 4, 7901, 15802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31598 and 31604. The biggest common factor number is the GCF number.
So the greatest common factor 31598 and 31604 is 2.

Also check out the Least Common Multiple of 31598 and 31604