What is the Greatest Common Factor of 63308 and 63322?

Greatest common factor (GCF) of 63308 and 63322 is 14.

GCF(63308,63322) = 14

We will now calculate the prime factors of 63308 and 63322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63308 and 63322.

How to find the GCF of 63308 and 63322?

We will first find the prime factorization of 63308 and 63322. After we will calculate the factors of 63308 and 63322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63322

Prime factors of 63322 are 2, 7, 4523. Prime factorization of 63322 in exponential form is:

63322 = 2¹ × 7¹ × 4523¹

Step-3: Factors of 63308

List of positive integer factors of 63308 that divides 63308 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

Step-4: Factors of 63322

List of positive integer factors of 63322 that divides 63308 without a remainder.

1, 2, 7, 14, 4523, 9046, 31661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63308 and 63322. The biggest common factor number is the GCF number.
So the greatest common factor 63308 and 63322 is 14.

Also check out the Least Common Multiple of 63308 and 63322