What is the Greatest Common Factor of 63284 and 63297?

Greatest common factor (GCF) of 63284 and 63297 is 13.

GCF(63284,63297) = 13

We will now calculate the prime factors of 63284 and 63297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63284 and 63297.

How to find the GCF of 63284 and 63297?

We will first find the prime factorization of 63284 and 63297. After we will calculate the factors of 63284 and 63297 and find the biggest common factor number .

Step-1: Prime Factorization of 63284

Prime factors of 63284 are 2, 13, 1217. Prime factorization of 63284 in exponential form is:

63284 = 2² × 13¹ × 1217¹

Step-2: Prime Factorization of 63297

Prime factors of 63297 are 3, 13, 541. Prime factorization of 63297 in exponential form is:

63297 = 3² × 13¹ × 541¹

Step-3: Factors of 63284

List of positive integer factors of 63284 that divides 63284 without a remainder.

1, 2, 4, 13, 26, 52, 1217, 2434, 4868, 15821, 31642

Step-4: Factors of 63297

List of positive integer factors of 63297 that divides 63284 without a remainder.

1, 3, 9, 13, 39, 117, 541, 1623, 4869, 7033, 21099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63284 and 63297. The biggest common factor number is the GCF number.
So the greatest common factor 63284 and 63297 is 13.

Also check out the Least Common Multiple of 63284 and 63297