What is the Greatest Common Factor of 63224 and 63236?

Greatest common factor (GCF) of 63224 and 63236 is 4.

GCF(63224,63236) = 4

We will now calculate the prime factors of 63224 and 63236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63224 and 63236.

How to find the GCF of 63224 and 63236?

We will first find the prime factorization of 63224 and 63236. After we will calculate the factors of 63224 and 63236 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 63236

Prime factors of 63236 are 2, 15809. Prime factorization of 63236 in exponential form is:

63236 = 2² × 15809¹

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 63236

List of positive integer factors of 63236 that divides 63224 without a remainder.

1, 2, 4, 15809, 31618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63224 and 63236. The biggest common factor number is the GCF number.
So the greatest common factor 63224 and 63236 is 4.

Also check out the Least Common Multiple of 63224 and 63236