What is the Greatest Common Factor of 63238 and 63252?

Greatest common factor (GCF) of 63238 and 63252 is 14.

GCF(63238,63252) = 14

We will now calculate the prime factors of 63238 and 63252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63238 and 63252.

How to find the GCF of 63238 and 63252?

We will first find the prime factorization of 63238 and 63252. After we will calculate the factors of 63238 and 63252 and find the biggest common factor number .

Step-1: Prime Factorization of 63238

Prime factors of 63238 are 2, 7, 4517. Prime factorization of 63238 in exponential form is:

63238 = 2¹ × 7¹ × 4517¹

Step-2: 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-3: Factors of 63238

List of positive integer factors of 63238 that divides 63238 without a remainder.

1, 2, 7, 14, 4517, 9034, 31619

Step-4: Factors of 63252

List of positive integer factors of 63252 that divides 63238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63238 and 63252. The biggest common factor number is the GCF number.
So the greatest common factor 63238 and 63252 is 14.

Also check out the Least Common Multiple of 63238 and 63252