What is the Greatest Common Factor of 31416 and 31422?

Greatest common factor (GCF) of 31416 and 31422 is 6.

GCF(31416,31422) = 6

We will now calculate the prime factors of 31416 and 31422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31416 and 31422.

How to find the GCF of 31416 and 31422?

We will first find the prime factorization of 31416 and 31422. After we will calculate the factors of 31416 and 31422 and find the biggest common factor number .

Step-1: Prime Factorization of 31416

Prime factors of 31416 are 2, 3, 7, 11, 17. Prime factorization of 31416 in exponential form is:

31416 = 2³ × 3¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 31422

Prime factors of 31422 are 2, 3, 5237. Prime factorization of 31422 in exponential form is:

31422 = 2¹ × 3¹ × 5237¹

Step-3: Factors of 31416

List of positive integer factors of 31416 that divides 31416 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33, 34, 42, 44, 51, 56, 66, 68, 77, 84, 88, 102, 119, 132, 136, 154, 168, 187, 204, 231, 238, 264, 308, 357, 374, 408, 462, 476, 561, 616, 714, 748, 924, 952, 1122, 1309, 1428, 1496, 1848, 2244, 2618, 2856, 3927, 4488, 5236, 7854, 10472, 15708

Step-4: Factors of 31422

List of positive integer factors of 31422 that divides 31416 without a remainder.

1, 2, 3, 6, 5237, 10474, 15711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31416 and 31422. The biggest common factor number is the GCF number.
So the greatest common factor 31416 and 31422 is 6.

Also check out the Least Common Multiple of 31416 and 31422