What is the Greatest Common Factor of 14056 and 14063?

Greatest common factor (GCF) of 14056 and 14063 is 7.

GCF(14056,14063) = 7

We will now calculate the prime factors of 14056 and 14063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14056 and 14063.

How to find the GCF of 14056 and 14063?

We will first find the prime factorization of 14056 and 14063. After we will calculate the factors of 14056 and 14063 and find the biggest common factor number .

Step-1: Prime Factorization of 14056

Prime factors of 14056 are 2, 7, 251. Prime factorization of 14056 in exponential form is:

14056 = 2³ × 7¹ × 251¹

Step-2: Prime Factorization of 14063

Prime factors of 14063 are 7, 41. Prime factorization of 14063 in exponential form is:

14063 = 7³ × 41¹

Step-3: Factors of 14056

List of positive integer factors of 14056 that divides 14056 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 251, 502, 1004, 1757, 2008, 3514, 7028

Step-4: Factors of 14063

List of positive integer factors of 14063 that divides 14056 without a remainder.

1, 7, 41, 49, 287, 343, 2009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14056 and 14063. The biggest common factor number is the GCF number.
So the greatest common factor 14056 and 14063 is 7.

Also check out the Least Common Multiple of 14056 and 14063