What is the Greatest Common Factor of 63294 and 63308?

Greatest common factor (GCF) of 63294 and 63308 is 14.

GCF(63294,63308) = 14

We will now calculate the prime factors of 63294 and 63308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63294 and 63308.

How to find the GCF of 63294 and 63308?

We will first find the prime factorization of 63294 and 63308. After we will calculate the factors of 63294 and 63308 and find the biggest common factor number .

Step-1: Prime Factorization of 63294

Prime factors of 63294 are 2, 3, 7, 11, 137. Prime factorization of 63294 in exponential form is:

63294 = 2¹ × 3¹ × 7¹ × 11¹ × 137¹

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 63294

List of positive integer factors of 63294 that divides 63294 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 137, 154, 231, 274, 411, 462, 822, 959, 1507, 1918, 2877, 3014, 4521, 5754, 9042, 10549, 21098, 31647

Step-4: Factors of 63308

List of positive integer factors of 63308 that divides 63294 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 63294 and 63308. The biggest common factor number is the GCF number.
So the greatest common factor 63294 and 63308 is 14.

Also check out the Least Common Multiple of 63294 and 63308