What is the Greatest Common Factor of 14528 and 14548?

Greatest common factor (GCF) of 14528 and 14548 is 4.

GCF(14528,14548) = 4

We will now calculate the prime factors of 14528 and 14548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14528 and 14548.

How to find the GCF of 14528 and 14548?

We will first find the prime factorization of 14528 and 14548. After we will calculate the factors of 14528 and 14548 and find the biggest common factor number .

Step-1: Prime Factorization of 14528

Prime factors of 14528 are 2, 227. Prime factorization of 14528 in exponential form is:

14528 = 2⁶ × 227¹

Step-2: Prime Factorization of 14548

Prime factors of 14548 are 2, 3637. Prime factorization of 14548 in exponential form is:

14548 = 2² × 3637¹

Step-3: Factors of 14528

List of positive integer factors of 14528 that divides 14528 without a remainder.

1, 2, 4, 8, 16, 32, 64, 227, 454, 908, 1816, 3632, 7264

Step-4: Factors of 14548

List of positive integer factors of 14548 that divides 14528 without a remainder.

1, 2, 4, 3637, 7274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14528 and 14548. The biggest common factor number is the GCF number.
So the greatest common factor 14528 and 14548 is 4.

Also check out the Least Common Multiple of 14528 and 14548