What is the Greatest Common Factor of 28100 and 28110?

Greatest common factor (GCF) of 28100 and 28110 is 10.

GCF(28100,28110) = 10

We will now calculate the prime factors of 28100 and 28110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28100 and 28110.

How to find the GCF of 28100 and 28110?

We will first find the prime factorization of 28100 and 28110. After we will calculate the factors of 28100 and 28110 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 28110

Prime factors of 28110 are 2, 3, 5, 937. Prime factorization of 28110 in exponential form is:

28110 = 2¹ × 3¹ × 5¹ × 937¹

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 28110

List of positive integer factors of 28110 that divides 28100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 937, 1874, 2811, 4685, 5622, 9370, 14055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28100 and 28110. The biggest common factor number is the GCF number.
So the greatest common factor 28100 and 28110 is 10.

Also check out the Least Common Multiple of 28100 and 28110