What is the Greatest Common Factor of 14021 and 14028?

Greatest common factor (GCF) of 14021 and 14028 is 7.

GCF(14021,14028) = 7

We will now calculate the prime factors of 14021 and 14028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14021 and 14028.

How to find the GCF of 14021 and 14028?

We will first find the prime factorization of 14021 and 14028. After we will calculate the factors of 14021 and 14028 and find the biggest common factor number .

Step-1: Prime Factorization of 14021

Prime factors of 14021 are 7, 2003. Prime factorization of 14021 in exponential form is:

14021 = 7¹ × 2003¹

Step-2: Prime Factorization of 14028

Prime factors of 14028 are 2, 3, 7, 167. Prime factorization of 14028 in exponential form is:

14028 = 2² × 3¹ × 7¹ × 167¹

Step-3: Factors of 14021

List of positive integer factors of 14021 that divides 14021 without a remainder.

1, 7, 2003

Step-4: Factors of 14028

List of positive integer factors of 14028 that divides 14021 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 167, 334, 501, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14021 and 14028. The biggest common factor number is the GCF number.
So the greatest common factor 14021 and 14028 is 7.

Also check out the Least Common Multiple of 14021 and 14028