What is the Greatest Common Factor of 14044 and 14056?

Greatest common factor (GCF) of 14044 and 14056 is 4.

GCF(14044,14056) = 4

We will now calculate the prime factors of 14044 and 14056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14044 and 14056.

How to find the GCF of 14044 and 14056?

We will first find the prime factorization of 14044 and 14056. After we will calculate the factors of 14044 and 14056 and find the biggest common factor number .

Step-1: Prime Factorization of 14044

Prime factors of 14044 are 2, 3511. Prime factorization of 14044 in exponential form is:

14044 = 2² × 3511¹

Step-2: 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-3: Factors of 14044

List of positive integer factors of 14044 that divides 14044 without a remainder.

1, 2, 4, 3511, 7022

Step-4: Factors of 14056

List of positive integer factors of 14056 that divides 14044 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14044 and 14056. The biggest common factor number is the GCF number.
So the greatest common factor 14044 and 14056 is 4.

Also check out the Least Common Multiple of 14044 and 14056