What is the Greatest Common Factor of 63288 and 63306?

Greatest common factor (GCF) of 63288 and 63306 is 18.

GCF(63288,63306) = 18

We will now calculate the prime factors of 63288 and 63306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63288 and 63306.

How to find the GCF of 63288 and 63306?

We will first find the prime factorization of 63288 and 63306. After we will calculate the factors of 63288 and 63306 and find the biggest common factor number .

Step-1: Prime Factorization of 63288

Prime factors of 63288 are 2, 3, 293. Prime factorization of 63288 in exponential form is:

63288 = 2³ × 3³ × 293¹

Step-2: Prime Factorization of 63306

Prime factors of 63306 are 2, 3, 3517. Prime factorization of 63306 in exponential form is:

63306 = 2¹ × 3² × 3517¹

Step-3: Factors of 63288

List of positive integer factors of 63288 that divides 63288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 5274, 7032, 7911, 10548, 15822, 21096, 31644

Step-4: Factors of 63306

List of positive integer factors of 63306 that divides 63288 without a remainder.

1, 2, 3, 6, 9, 18, 3517, 7034, 10551, 21102, 31653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63288 and 63306. The biggest common factor number is the GCF number.
So the greatest common factor 63288 and 63306 is 18.

Also check out the Least Common Multiple of 63288 and 63306