What is the Greatest Common Factor of 31403 and 31416?

Greatest common factor (GCF) of 31403 and 31416 is 1.

GCF(31403,31416) = 1

We will now calculate the prime factors of 31403 and 31416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31403 and 31416.

How to find the GCF of 31403 and 31416?

We will first find the prime factorization of 31403 and 31416. After we will calculate the factors of 31403 and 31416 and find the biggest common factor number .

Step-1: Prime Factorization of 31403

Prime factors of 31403 are 31, 1013. Prime factorization of 31403 in exponential form is:

31403 = 31¹ × 1013¹

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 31403

List of positive integer factors of 31403 that divides 31403 without a remainder.

1, 31, 1013

Step-4: Factors of 31416

List of positive integer factors of 31416 that divides 31403 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 31403 and 31416. The biggest common factor number is the GCF number.
So the greatest common factor 31403 and 31416 is 1.

Also check out the Least Common Multiple of 31403 and 31416