What is the Greatest Common Factor of 63296 and 63302?

Greatest common factor (GCF) of 63296 and 63302 is 2.

GCF(63296,63302) = 2

We will now calculate the prime factors of 63296 and 63302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63296 and 63302.

How to find the GCF of 63296 and 63302?

We will first find the prime factorization of 63296 and 63302. After we will calculate the factors of 63296 and 63302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63302

Prime factors of 63302 are 2, 31, 1021. Prime factorization of 63302 in exponential form is:

63302 = 2¹ × 31¹ × 1021¹

Step-3: Factors of 63296

List of positive integer factors of 63296 that divides 63296 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

Step-4: Factors of 63302

List of positive integer factors of 63302 that divides 63296 without a remainder.

1, 2, 31, 62, 1021, 2042, 31651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63296 and 63302. The biggest common factor number is the GCF number.
So the greatest common factor 63296 and 63302 is 2.

Also check out the Least Common Multiple of 63296 and 63302