What is the Greatest Common Factor of 63038 and 63056?

Greatest common factor (GCF) of 63038 and 63056 is 2.

GCF(63038,63056) = 2

We will now calculate the prime factors of 63038 and 63056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63038 and 63056.

How to find the GCF of 63038 and 63056?

We will first find the prime factorization of 63038 and 63056. After we will calculate the factors of 63038 and 63056 and find the biggest common factor number .

Step-1: Prime Factorization of 63038

Prime factors of 63038 are 2, 43, 733. Prime factorization of 63038 in exponential form is:

63038 = 2¹ × 43¹ × 733¹

Step-2: Prime Factorization of 63056

Prime factors of 63056 are 2, 7, 563. Prime factorization of 63056 in exponential form is:

63056 = 2⁴ × 7¹ × 563¹

Step-3: Factors of 63038

List of positive integer factors of 63038 that divides 63038 without a remainder.

1, 2, 43, 86, 733, 1466, 31519

Step-4: Factors of 63056

List of positive integer factors of 63056 that divides 63038 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 563, 1126, 2252, 3941, 4504, 7882, 9008, 15764, 31528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63038 and 63056. The biggest common factor number is the GCF number.
So the greatest common factor 63038 and 63056 is 2.

Also check out the Least Common Multiple of 63038 and 63056