What is the Greatest Common Factor of 28025 and 28044?

Greatest common factor (GCF) of 28025 and 28044 is 19.

GCF(28025,28044) = 19

We will now calculate the prime factors of 28025 and 28044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28025 and 28044.

How to find the GCF of 28025 and 28044?

We will first find the prime factorization of 28025 and 28044. After we will calculate the factors of 28025 and 28044 and find the biggest common factor number .

Step-1: Prime Factorization of 28025

Prime factors of 28025 are 5, 19, 59. Prime factorization of 28025 in exponential form is:

28025 = 5² × 19¹ × 59¹

Step-2: Prime Factorization of 28044

Prime factors of 28044 are 2, 3, 19, 41. Prime factorization of 28044 in exponential form is:

28044 = 2² × 3² × 19¹ × 41¹

Step-3: Factors of 28025

List of positive integer factors of 28025 that divides 28025 without a remainder.

1, 5, 19, 25, 59, 95, 295, 475, 1121, 1475, 5605

Step-4: Factors of 28044

List of positive integer factors of 28044 that divides 28025 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 41, 57, 76, 82, 114, 123, 164, 171, 228, 246, 342, 369, 492, 684, 738, 779, 1476, 1558, 2337, 3116, 4674, 7011, 9348, 14022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28025 and 28044. The biggest common factor number is the GCF number.
So the greatest common factor 28025 and 28044 is 19.

Also check out the Least Common Multiple of 28025 and 28044