What is the Greatest Common Factor of 63252 and 63266?

Greatest common factor (GCF) of 63252 and 63266 is 14.

GCF(63252,63266) = 14

We will now calculate the prime factors of 63252 and 63266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63252 and 63266.

How to find the GCF of 63252 and 63266?

We will first find the prime factorization of 63252 and 63266. After we will calculate the factors of 63252 and 63266 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 63266

Prime factors of 63266 are 2, 7, 4519. Prime factorization of 63266 in exponential form is:

63266 = 2¹ × 7¹ × 4519¹

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 63266

List of positive integer factors of 63266 that divides 63252 without a remainder.

1, 2, 7, 14, 4519, 9038, 31633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63252 and 63266. The biggest common factor number is the GCF number.
So the greatest common factor 63252 and 63266 is 14.

Also check out the Least Common Multiple of 63252 and 63266