What is the Greatest Common Factor of 63290 and 63296?

Greatest common factor (GCF) of 63290 and 63296 is 2.

GCF(63290,63296) = 2

We will now calculate the prime factors of 63290 and 63296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63290 and 63296.

How to find the GCF of 63290 and 63296?

We will first find the prime factorization of 63290 and 63296. After we will calculate the factors of 63290 and 63296 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 63296

Prime factors of 63296 are 2, 23, 43. Prime factorization of 63296 in exponential form is:

63296 = 2⁶ × 23¹ × 43¹

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 63296

List of positive integer factors of 63296 that divides 63290 without a remainder.

1, 2, 4, 8, 16, 23, 32, 43, 46, 64, 86, 92, 172, 184, 344, 368, 688, 736, 989, 1376, 1472, 1978, 2752, 3956, 7912, 15824, 31648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63290 and 63296. The biggest common factor number is the GCF number.
So the greatest common factor 63290 and 63296 is 2.

Also check out the Least Common Multiple of 63290 and 63296