What is the Greatest Common Factor of 63272 and 63292?

Greatest common factor (GCF) of 63272 and 63292 is 4.

GCF(63272,63292) = 4

We will now calculate the prime factors of 63272 and 63292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63272 and 63292.

How to find the GCF of 63272 and 63292?

We will first find the prime factorization of 63272 and 63292. After we will calculate the factors of 63272 and 63292 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 63292

Prime factors of 63292 are 2, 15823. Prime factorization of 63292 in exponential form is:

63292 = 2² × 15823¹

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 63292

List of positive integer factors of 63292 that divides 63272 without a remainder.

1, 2, 4, 15823, 31646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63272 and 63292. The biggest common factor number is the GCF number.
So the greatest common factor 63272 and 63292 is 4.

Also check out the Least Common Multiple of 63272 and 63292