What is the Greatest Common Factor of 31408 and 31412?

Greatest common factor (GCF) of 31408 and 31412 is 4.

GCF(31408,31412) = 4

We will now calculate the prime factors of 31408 and 31412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31408 and 31412.

How to find the GCF of 31408 and 31412?

We will first find the prime factorization of 31408 and 31412. After we will calculate the factors of 31408 and 31412 and find the biggest common factor number .

Step-1: Prime Factorization of 31408

Prime factors of 31408 are 2, 13, 151. Prime factorization of 31408 in exponential form is:

31408 = 2⁴ × 13¹ × 151¹

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 31408

List of positive integer factors of 31408 that divides 31408 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 151, 208, 302, 604, 1208, 1963, 2416, 3926, 7852, 15704

Step-4: Factors of 31412

List of positive integer factors of 31412 that divides 31408 without a remainder.

1, 2, 4, 7853, 15706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31408 and 31412. The biggest common factor number is the GCF number.
So the greatest common factor 31408 and 31412 is 4.

Also check out the Least Common Multiple of 31408 and 31412