What is the Greatest Common Factor of 31398 and 31416?

Greatest common factor (GCF) of 31398 and 31416 is 6.

GCF(31398,31416) = 6

We will now calculate the prime factors of 31398 and 31416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31398 and 31416.

How to find the GCF of 31398 and 31416?

We will first find the prime factorization of 31398 and 31416. After we will calculate the factors of 31398 and 31416 and find the biggest common factor number .

Step-1: Prime Factorization of 31398

Prime factors of 31398 are 2, 3, 5233. Prime factorization of 31398 in exponential form is:

31398 = 2¹ × 3¹ × 5233¹

Step-2: 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-3: Factors of 31398

List of positive integer factors of 31398 that divides 31398 without a remainder.

1, 2, 3, 6, 5233, 10466, 15699

Step-4: Factors of 31416

List of positive integer factors of 31416 that divides 31398 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31398 and 31416. The biggest common factor number is the GCF number.
So the greatest common factor 31398 and 31416 is 6.

Also check out the Least Common Multiple of 31398 and 31416