What is the Greatest Common Factor of 63217 and 63231?

Greatest common factor (GCF) of 63217 and 63231 is 7.

GCF(63217,63231) = 7

We will now calculate the prime factors of 63217 and 63231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63217 and 63231.

How to find the GCF of 63217 and 63231?

We will first find the prime factorization of 63217 and 63231. After we will calculate the factors of 63217 and 63231 and find the biggest common factor number .

Step-1: Prime Factorization of 63217

Prime factors of 63217 are 7, 11, 821. Prime factorization of 63217 in exponential form is:

63217 = 7¹ × 11¹ × 821¹

Step-2: Prime Factorization of 63231

Prime factors of 63231 are 3, 7, 3011. Prime factorization of 63231 in exponential form is:

63231 = 3¹ × 7¹ × 3011¹

Step-3: Factors of 63217

List of positive integer factors of 63217 that divides 63217 without a remainder.

1, 7, 11, 77, 821, 5747, 9031

Step-4: Factors of 63231

List of positive integer factors of 63231 that divides 63217 without a remainder.

1, 3, 7, 21, 3011, 9033, 21077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63217 and 63231. The biggest common factor number is the GCF number.
So the greatest common factor 63217 and 63231 is 7.

Also check out the Least Common Multiple of 63217 and 63231