What is the Greatest Common Factor of 63272 and 63283?

Greatest common factor (GCF) of 63272 and 63283 is 11.

GCF(63272,63283) = 11

We will now calculate the prime factors of 63272 and 63283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63272 and 63283.

How to find the GCF of 63272 and 63283?

We will first find the prime factorization of 63272 and 63283. After we will calculate the factors of 63272 and 63283 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63283

Prime factors of 63283 are 11, 523. Prime factorization of 63283 in exponential form is:

63283 = 11² × 523¹

Step-3: Factors of 63272

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

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

Step-4: Factors of 63283

List of positive integer factors of 63283 that divides 63272 without a remainder.

1, 11, 121, 523, 5753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63272 and 63283. The biggest common factor number is the GCF number.
So the greatest common factor 63272 and 63283 is 11.

Also check out the Least Common Multiple of 63272 and 63283