What is the Greatest Common Factor of 31416 and 31433?

Greatest common factor (GCF) of 31416 and 31433 is 17.

GCF(31416,31433) = 17

We will now calculate the prime factors of 31416 and 31433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31416 and 31433.

How to find the GCF of 31416 and 31433?

We will first find the prime factorization of 31416 and 31433. After we will calculate the factors of 31416 and 31433 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 31433

Prime factors of 31433 are 17, 43. Prime factorization of 31433 in exponential form is:

31433 = 17¹ × 43²

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 31433

List of positive integer factors of 31433 that divides 31416 without a remainder.

1, 17, 43, 731, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31416 and 31433. The biggest common factor number is the GCF number.
So the greatest common factor 31416 and 31433 is 17.

Also check out the Least Common Multiple of 31416 and 31433