What is the Greatest Common Factor of 14028 and 14032?

Greatest common factor (GCF) of 14028 and 14032 is 4.

GCF(14028,14032) = 4

We will now calculate the prime factors of 14028 and 14032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14028 and 14032.

How to find the GCF of 14028 and 14032?

We will first find the prime factorization of 14028 and 14032. After we will calculate the factors of 14028 and 14032 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14032

Prime factors of 14032 are 2, 877. Prime factorization of 14032 in exponential form is:

14032 = 2⁴ × 877¹

Step-3: Factors of 14028

List of positive integer factors of 14028 that divides 14028 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

Step-4: Factors of 14032

List of positive integer factors of 14032 that divides 14028 without a remainder.

1, 2, 4, 8, 16, 877, 1754, 3508, 7016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14028 and 14032. The biggest common factor number is the GCF number.
So the greatest common factor 14028 and 14032 is 4.

Also check out the Least Common Multiple of 14028 and 14032