What is the Greatest Common Factor of 63254 and 63272?

Greatest common factor (GCF) of 63254 and 63272 is 2.

GCF(63254,63272) = 2

We will now calculate the prime factors of 63254 and 63272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63254 and 63272.

How to find the GCF of 63254 and 63272?

We will first find the prime factorization of 63254 and 63272. After we will calculate the factors of 63254 and 63272 and find the biggest common factor number .

Step-1: Prime Factorization of 63254

Prime factors of 63254 are 2, 31627. Prime factorization of 63254 in exponential form is:

63254 = 2¹ × 31627¹

Step-2: Prime Factorization of 63272

Prime factors of 63272 are 2, 11, 719. Prime factorization of 63272 in exponential form is:

63272 = 2³ × 11¹ × 719¹

Step-3: Factors of 63254

List of positive integer factors of 63254 that divides 63254 without a remainder.

1, 2, 31627

Step-4: Factors of 63272

List of positive integer factors of 63272 that divides 63254 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 719, 1438, 2876, 5752, 7909, 15818, 31636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63254 and 63272. The biggest common factor number is the GCF number.
So the greatest common factor 63254 and 63272 is 2.

Also check out the Least Common Multiple of 63254 and 63272