What is the Greatest Common Factor of 31368 and 31386?

Greatest common factor (GCF) of 31368 and 31386 is 6.

GCF(31368,31386) = 6

We will now calculate the prime factors of 31368 and 31386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31368 and 31386.

How to find the GCF of 31368 and 31386?

We will first find the prime factorization of 31368 and 31386. After we will calculate the factors of 31368 and 31386 and find the biggest common factor number .

Step-1: Prime Factorization of 31368

Prime factors of 31368 are 2, 3, 1307. Prime factorization of 31368 in exponential form is:

31368 = 2³ × 3¹ × 1307¹

Step-2: Prime Factorization of 31386

Prime factors of 31386 are 2, 3, 5231. Prime factorization of 31386 in exponential form is:

31386 = 2¹ × 3¹ × 5231¹

Step-3: Factors of 31368

List of positive integer factors of 31368 that divides 31368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1307, 2614, 3921, 5228, 7842, 10456, 15684

Step-4: Factors of 31386

List of positive integer factors of 31386 that divides 31368 without a remainder.

1, 2, 3, 6, 5231, 10462, 15693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31368 and 31386. The biggest common factor number is the GCF number.
So the greatest common factor 31368 and 31386 is 6.

Also check out the Least Common Multiple of 31368 and 31386