What is the Greatest Common Factor of 63348 and 63366?

Greatest common factor (GCF) of 63348 and 63366 is 6.

GCF(63348,63366) = 6

We will now calculate the prime factors of 63348 and 63366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63348 and 63366.

How to find the GCF of 63348 and 63366?

We will first find the prime factorization of 63348 and 63366. After we will calculate the factors of 63348 and 63366 and find the biggest common factor number .

Step-1: Prime Factorization of 63348

Prime factors of 63348 are 2, 3, 5279. Prime factorization of 63348 in exponential form is:

63348 = 2² × 3¹ × 5279¹

Step-2: Prime Factorization of 63366

Prime factors of 63366 are 2, 3, 59, 179. Prime factorization of 63366 in exponential form is:

63366 = 2¹ × 3¹ × 59¹ × 179¹

Step-3: Factors of 63348

List of positive integer factors of 63348 that divides 63348 without a remainder.

1, 2, 3, 4, 6, 12, 5279, 10558, 15837, 21116, 31674

Step-4: Factors of 63366

List of positive integer factors of 63366 that divides 63348 without a remainder.

1, 2, 3, 6, 59, 118, 177, 179, 354, 358, 537, 1074, 10561, 21122, 31683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63348 and 63366. The biggest common factor number is the GCF number.
So the greatest common factor 63348 and 63366 is 6.

Also check out the Least Common Multiple of 63348 and 63366