What is the Greatest Common Factor of 28175 and 28190?

Greatest common factor (GCF) of 28175 and 28190 is 5.

GCF(28175,28190) = 5

We will now calculate the prime factors of 28175 and 28190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28175 and 28190.

How to find the GCF of 28175 and 28190?

We will first find the prime factorization of 28175 and 28190. After we will calculate the factors of 28175 and 28190 and find the biggest common factor number .

Step-1: Prime Factorization of 28175

Prime factors of 28175 are 5, 7, 23. Prime factorization of 28175 in exponential form is:

28175 = 5² × 7² × 23¹

Step-2: Prime Factorization of 28190

Prime factors of 28190 are 2, 5, 2819. Prime factorization of 28190 in exponential form is:

28190 = 2¹ × 5¹ × 2819¹

Step-3: Factors of 28175

List of positive integer factors of 28175 that divides 28175 without a remainder.

1, 5, 7, 23, 25, 35, 49, 115, 161, 175, 245, 575, 805, 1127, 1225, 4025, 5635

Step-4: Factors of 28190

List of positive integer factors of 28190 that divides 28175 without a remainder.

1, 2, 5, 10, 2819, 5638, 14095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28175 and 28190. The biggest common factor number is the GCF number.
So the greatest common factor 28175 and 28190 is 5.

Also check out the Least Common Multiple of 28175 and 28190