What is the Greatest Common Factor of 31397 and 31416?

Greatest common factor (GCF) of 31397 and 31416 is 1.

GCF(31397,31416) = 1

We will now calculate the prime factors of 31397 and 31416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31397 and 31416.

How to find the GCF of 31397 and 31416?

We will first find the prime factorization of 31397 and 31416. After we will calculate the factors of 31397 and 31416 and find the biggest common factor number .

Step-1: Prime Factorization of 31397

Prime factors of 31397 are 31397. Prime factorization of 31397 in exponential form is:

31397 = 31397¹

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 31397

List of positive integer factors of 31397 that divides 31397 without a remainder.

Step-4: Factors of 31416

List of positive integer factors of 31416 that divides 31397 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 31397 and 31416. The biggest common factor number is the GCF number.
So the greatest common factor 31397 and 31416 is 1.

Also check out the Least Common Multiple of 31397 and 31416