What is the Greatest Common Factor of 63056 and 63070?

Greatest common factor (GCF) of 63056 and 63070 is 14.

GCF(63056,63070) = 14

We will now calculate the prime factors of 63056 and 63070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63056 and 63070.

How to find the GCF of 63056 and 63070?

We will first find the prime factorization of 63056 and 63070. After we will calculate the factors of 63056 and 63070 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 63070

Prime factors of 63070 are 2, 5, 7, 17, 53. Prime factorization of 63070 in exponential form is:

63070 = 2¹ × 5¹ × 7¹ × 17¹ × 53¹

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 63070

List of positive integer factors of 63070 that divides 63056 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 53, 70, 85, 106, 119, 170, 238, 265, 371, 530, 595, 742, 901, 1190, 1802, 1855, 3710, 4505, 6307, 9010, 12614, 31535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63056 and 63070. The biggest common factor number is the GCF number.
So the greatest common factor 63056 and 63070 is 14.

Also check out the Least Common Multiple of 63056 and 63070