What is the Greatest Common Factor of 63284 and 63298?

Greatest common factor (GCF) of 63284 and 63298 is 2.

GCF(63284,63298) = 2

We will now calculate the prime factors of 63284 and 63298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63284 and 63298.

How to find the GCF of 63284 and 63298?

We will first find the prime factorization of 63284 and 63298. After we will calculate the factors of 63284 and 63298 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 63298

Prime factors of 63298 are 2, 31649. Prime factorization of 63298 in exponential form is:

63298 = 2¹ × 31649¹

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 63298

List of positive integer factors of 63298 that divides 63284 without a remainder.

1, 2, 31649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63284 and 63298. The biggest common factor number is the GCF number.
So the greatest common factor 63284 and 63298 is 2.

Also check out the Least Common Multiple of 63284 and 63298