What is the Greatest Common Factor of 63056 and 63071?

Greatest common factor (GCF) of 63056 and 63071 is 1.

GCF(63056,63071) = 1

We will now calculate the prime factors of 63056 and 63071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63056 and 63071.

How to find the GCF of 63056 and 63071?

We will first find the prime factorization of 63056 and 63071. After we will calculate the factors of 63056 and 63071 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63071

Prime factors of 63071 are 59, 1069. Prime factorization of 63071 in exponential form is:

63071 = 59¹ × 1069¹

Step-3: Factors of 63056

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

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

Step-4: Factors of 63071

List of positive integer factors of 63071 that divides 63056 without a remainder.

1, 59, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63056 and 63071. The biggest common factor number is the GCF number.
So the greatest common factor 63056 and 63071 is 1.

Also check out the Least Common Multiple of 63056 and 63071