What is the Greatest Common Factor of 85160 and 85175?

Greatest common factor (GCF) of 85160 and 85175 is 5.

GCF(85160,85175) = 5

We will now calculate the prime factors of 85160 and 85175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85160 and 85175.

How to find the GCF of 85160 and 85175?

We will first find the prime factorization of 85160 and 85175. After we will calculate the factors of 85160 and 85175 and find the biggest common factor number .

Step-1: Prime Factorization of 85160

Prime factors of 85160 are 2, 5, 2129. Prime factorization of 85160 in exponential form is:

85160 = 2³ × 5¹ × 2129¹

Step-2: Prime Factorization of 85175

Prime factors of 85175 are 5, 3407. Prime factorization of 85175 in exponential form is:

85175 = 5² × 3407¹

Step-3: Factors of 85160

List of positive integer factors of 85160 that divides 85160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2129, 4258, 8516, 10645, 17032, 21290, 42580

Step-4: Factors of 85175

List of positive integer factors of 85175 that divides 85160 without a remainder.

1, 5, 25, 3407, 17035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85160 and 85175. The biggest common factor number is the GCF number.
So the greatest common factor 85160 and 85175 is 5.

Also check out the Least Common Multiple of 85160 and 85175