What is the Greatest Common Factor of 63226 and 63244?

Greatest common factor (GCF) of 63226 and 63244 is 2.

GCF(63226,63244) = 2

We will now calculate the prime factors of 63226 and 63244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63226 and 63244.

How to find the GCF of 63226 and 63244?

We will first find the prime factorization of 63226 and 63244. After we will calculate the factors of 63226 and 63244 and find the biggest common factor number .

Step-1: Prime Factorization of 63226

Prime factors of 63226 are 2, 101, 313. Prime factorization of 63226 in exponential form is:

63226 = 2¹ × 101¹ × 313¹

Step-2: Prime Factorization of 63244

Prime factors of 63244 are 2, 97, 163. Prime factorization of 63244 in exponential form is:

63244 = 2² × 97¹ × 163¹

Step-3: Factors of 63226

List of positive integer factors of 63226 that divides 63226 without a remainder.

1, 2, 101, 202, 313, 626, 31613

Step-4: Factors of 63244

List of positive integer factors of 63244 that divides 63226 without a remainder.

1, 2, 4, 97, 163, 194, 326, 388, 652, 15811, 31622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63226 and 63244. The biggest common factor number is the GCF number.
So the greatest common factor 63226 and 63244 is 2.

Also check out the Least Common Multiple of 63226 and 63244