What is the Greatest Common Factor of 63252 and 63258?

Greatest common factor (GCF) of 63252 and 63258 is 6.

GCF(63252,63258) = 6

We will now calculate the prime factors of 63252 and 63258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63252 and 63258.

How to find the GCF of 63252 and 63258?

We will first find the prime factorization of 63252 and 63258. After we will calculate the factors of 63252 and 63258 and find the biggest common factor number .

Step-1: Prime Factorization of 63252

Prime factors of 63252 are 2, 3, 7, 251. Prime factorization of 63252 in exponential form is:

63252 = 2² × 3² × 7¹ × 251¹

Step-2: Prime Factorization of 63258

Prime factors of 63258 are 2, 3, 13, 811. Prime factorization of 63258 in exponential form is:

63258 = 2¹ × 3¹ × 13¹ × 811¹

Step-3: Factors of 63252

List of positive integer factors of 63252 that divides 63252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 251, 252, 502, 753, 1004, 1506, 1757, 2259, 3012, 3514, 4518, 5271, 7028, 9036, 10542, 15813, 21084, 31626

Step-4: Factors of 63258

List of positive integer factors of 63258 that divides 63252 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 811, 1622, 2433, 4866, 10543, 21086, 31629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63252 and 63258. The biggest common factor number is the GCF number.
So the greatest common factor 63252 and 63258 is 6.

Also check out the Least Common Multiple of 63252 and 63258