What is the Greatest Common Factor of 28168 and 28175?

Greatest common factor (GCF) of 28168 and 28175 is 7.

GCF(28168,28175) = 7

We will now calculate the prime factors of 28168 and 28175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28168 and 28175.

How to find the GCF of 28168 and 28175?

We will first find the prime factorization of 28168 and 28175. After we will calculate the factors of 28168 and 28175 and find the biggest common factor number .

Step-1: Prime Factorization of 28168

Prime factors of 28168 are 2, 7, 503. Prime factorization of 28168 in exponential form is:

28168 = 2³ × 7¹ × 503¹

Step-2: 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-3: Factors of 28168

List of positive integer factors of 28168 that divides 28168 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 503, 1006, 2012, 3521, 4024, 7042, 14084

Step-4: Factors of 28175

List of positive integer factors of 28175 that divides 28168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28168 and 28175. The biggest common factor number is the GCF number.
So the greatest common factor 28168 and 28175 is 7.

Also check out the Least Common Multiple of 28168 and 28175