What is the Greatest Common Factor of 63056 and 63074?

Greatest common factor (GCF) of 63056 and 63074 is 2.

GCF(63056,63074) = 2

We will now calculate the prime factors of 63056 and 63074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63056 and 63074.

How to find the GCF of 63056 and 63074?

We will first find the prime factorization of 63056 and 63074. After we will calculate the factors of 63056 and 63074 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 63074

Prime factors of 63074 are 2, 11, 47, 61. Prime factorization of 63074 in exponential form is:

63074 = 2¹ × 11¹ × 47¹ × 61¹

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 63074

List of positive integer factors of 63074 that divides 63056 without a remainder.

1, 2, 11, 22, 47, 61, 94, 122, 517, 671, 1034, 1342, 2867, 5734, 31537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63056 and 63074. The biggest common factor number is the GCF number.
So the greatest common factor 63056 and 63074 is 2.

Also check out the Least Common Multiple of 63056 and 63074