What is the Greatest Common Factor of 28100 and 28115?

Greatest common factor (GCF) of 28100 and 28115 is 5.

GCF(28100,28115) = 5

We will now calculate the prime factors of 28100 and 28115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28100 and 28115.

How to find the GCF of 28100 and 28115?

We will first find the prime factorization of 28100 and 28115. After we will calculate the factors of 28100 and 28115 and find the biggest common factor number .

Step-1: Prime Factorization of 28100

Prime factors of 28100 are 2, 5, 281. Prime factorization of 28100 in exponential form is:

28100 = 2² × 5² × 281¹

Step-2: Prime Factorization of 28115

Prime factors of 28115 are 5, 5623. Prime factorization of 28115 in exponential form is:

28115 = 5¹ × 5623¹

Step-3: Factors of 28100

List of positive integer factors of 28100 that divides 28100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 281, 562, 1124, 1405, 2810, 5620, 7025, 14050

Step-4: Factors of 28115

List of positive integer factors of 28115 that divides 28100 without a remainder.

1, 5, 5623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28100 and 28115. The biggest common factor number is the GCF number.
So the greatest common factor 28100 and 28115 is 5.

Also check out the Least Common Multiple of 28100 and 28115