What is the Greatest Common Factor of 28175 and 28180?

Greatest common factor (GCF) of 28175 and 28180 is 5.

GCF(28175,28180) = 5

We will now calculate the prime factors of 28175 and 28180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28175 and 28180.

How to find the GCF of 28175 and 28180?

We will first find the prime factorization of 28175 and 28180. After we will calculate the factors of 28175 and 28180 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 28180

Prime factors of 28180 are 2, 5, 1409. Prime factorization of 28180 in exponential form is:

28180 = 2² × 5¹ × 1409¹

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 28180

List of positive integer factors of 28180 that divides 28175 without a remainder.

1, 2, 4, 5, 10, 20, 1409, 2818, 5636, 7045, 14090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28175 and 28180. The biggest common factor number is the GCF number.
So the greatest common factor 28175 and 28180 is 5.

Also check out the Least Common Multiple of 28175 and 28180