What is the Greatest Common Factor of 63291 and 63308?

Greatest common factor (GCF) of 63291 and 63308 is 17.

GCF(63291,63308) = 17

We will now calculate the prime factors of 63291 and 63308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63291 and 63308.

How to find the GCF of 63291 and 63308?

We will first find the prime factorization of 63291 and 63308. After we will calculate the factors of 63291 and 63308 and find the biggest common factor number .

Step-1: Prime Factorization of 63291

Prime factors of 63291 are 3, 17, 73. Prime factorization of 63291 in exponential form is:

63291 = 3¹ × 17² × 73¹

Step-2: Prime Factorization of 63308

Prime factors of 63308 are 2, 7, 17, 19. Prime factorization of 63308 in exponential form is:

63308 = 2² × 7² × 17¹ × 19¹

Step-3: Factors of 63291

List of positive integer factors of 63291 that divides 63291 without a remainder.

1, 3, 17, 51, 73, 219, 289, 867, 1241, 3723, 21097

Step-4: Factors of 63308

List of positive integer factors of 63308 that divides 63291 without a remainder.

1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 49, 68, 76, 98, 119, 133, 196, 238, 266, 323, 476, 532, 646, 833, 931, 1292, 1666, 1862, 2261, 3332, 3724, 4522, 9044, 15827, 31654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63291 and 63308. The biggest common factor number is the GCF number.
So the greatest common factor 63291 and 63308 is 17.

Also check out the Least Common Multiple of 63291 and 63308