What is the Greatest Common Factor of 63290 and 63298?

Greatest common factor (GCF) of 63290 and 63298 is 2.

GCF(63290,63298) = 2

We will now calculate the prime factors of 63290 and 63298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63290 and 63298.

How to find the GCF of 63290 and 63298?

We will first find the prime factorization of 63290 and 63298. After we will calculate the factors of 63290 and 63298 and find the biggest common factor number .

Step-1: Prime Factorization of 63290

Prime factors of 63290 are 2, 5, 6329. Prime factorization of 63290 in exponential form is:

63290 = 2¹ × 5¹ × 6329¹

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 63290

List of positive integer factors of 63290 that divides 63290 without a remainder.

1, 2, 5, 10, 6329, 12658, 31645

Step-4: Factors of 63298

List of positive integer factors of 63298 that divides 63290 without a remainder.

1, 2, 31649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63290 and 63298. The biggest common factor number is the GCF number.
So the greatest common factor 63290 and 63298 is 2.

Also check out the Least Common Multiple of 63290 and 63298