What is the Greatest Common Factor of 28100 and 28109?

Greatest common factor (GCF) of 28100 and 28109 is 1.

GCF(28100,28109) = 1

We will now calculate the prime factors of 28100 and 28109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28100 and 28109.

How to find the GCF of 28100 and 28109?

We will first find the prime factorization of 28100 and 28109. After we will calculate the factors of 28100 and 28109 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 28109

Prime factors of 28109 are 28109. Prime factorization of 28109 in exponential form is:

28109 = 28109¹

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 28109

List of positive integer factors of 28109 that divides 28100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28100 and 28109. The biggest common factor number is the GCF number.
So the greatest common factor 28100 and 28109 is 1.

Also check out the Least Common Multiple of 28100 and 28109