What is the Greatest Common Factor of 63224 and 63238?

Greatest common factor (GCF) of 63224 and 63238 is 14.

GCF(63224,63238) = 14

We will now calculate the prime factors of 63224 and 63238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63224 and 63238.

How to find the GCF of 63224 and 63238?

We will first find the prime factorization of 63224 and 63238. After we will calculate the factors of 63224 and 63238 and find the biggest common factor number .

Step-1: Prime Factorization of 63224

Prime factors of 63224 are 2, 7, 1129. Prime factorization of 63224 in exponential form is:

63224 = 2³ × 7¹ × 1129¹

Step-2: 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-3: Factors of 63224

List of positive integer factors of 63224 that divides 63224 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1129, 2258, 4516, 7903, 9032, 15806, 31612

Step-4: Factors of 63238

List of positive integer factors of 63238 that divides 63224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63224 and 63238. The biggest common factor number is the GCF number.
So the greatest common factor 63224 and 63238 is 14.

Also check out the Least Common Multiple of 63224 and 63238