What is the Greatest Common Factor of 31392 and 31406?

Greatest common factor (GCF) of 31392 and 31406 is 2.

GCF(31392,31406) = 2

We will now calculate the prime factors of 31392 and 31406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31392 and 31406.

How to find the GCF of 31392 and 31406?

We will first find the prime factorization of 31392 and 31406. After we will calculate the factors of 31392 and 31406 and find the biggest common factor number .

Step-1: Prime Factorization of 31392

Prime factors of 31392 are 2, 3, 109. Prime factorization of 31392 in exponential form is:

31392 = 2⁵ × 3² × 109¹

Step-2: Prime Factorization of 31406

Prime factors of 31406 are 2, 41, 383. Prime factorization of 31406 in exponential form is:

31406 = 2¹ × 41¹ × 383¹

Step-3: Factors of 31392

List of positive integer factors of 31392 that divides 31392 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 109, 144, 218, 288, 327, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 3488, 3924, 5232, 7848, 10464, 15696

Step-4: Factors of 31406

List of positive integer factors of 31406 that divides 31392 without a remainder.

1, 2, 41, 82, 383, 766, 15703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31392 and 31406. The biggest common factor number is the GCF number.
So the greatest common factor 31392 and 31406 is 2.

Also check out the Least Common Multiple of 31392 and 31406