What is the Greatest Common Factor of 31400 and 31412?

Greatest common factor (GCF) of 31400 and 31412 is 4.

GCF(31400,31412) = 4

We will now calculate the prime factors of 31400 and 31412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31400 and 31412.

How to find the GCF of 31400 and 31412?

We will first find the prime factorization of 31400 and 31412. After we will calculate the factors of 31400 and 31412 and find the biggest common factor number .

Step-1: Prime Factorization of 31400

Prime factors of 31400 are 2, 5, 157. Prime factorization of 31400 in exponential form is:

31400 = 2³ × 5² × 157¹

Step-2: Prime Factorization of 31412

Prime factors of 31412 are 2, 7853. Prime factorization of 31412 in exponential form is:

31412 = 2² × 7853¹

Step-3: Factors of 31400

List of positive integer factors of 31400 that divides 31400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 157, 200, 314, 628, 785, 1256, 1570, 3140, 3925, 6280, 7850, 15700

Step-4: Factors of 31412

List of positive integer factors of 31412 that divides 31400 without a remainder.

1, 2, 4, 7853, 15706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31400 and 31412. The biggest common factor number is the GCF number.
So the greatest common factor 31400 and 31412 is 4.

Also check out the Least Common Multiple of 31400 and 31412