What is the Greatest Common Factor of 36170 and 36175?

Greatest common factor (GCF) of 36170 and 36175 is 5.

GCF(36170,36175) = 5

We will now calculate the prime factors of 36170 and 36175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36170 and 36175.

How to find the GCF of 36170 and 36175?

We will first find the prime factorization of 36170 and 36175. After we will calculate the factors of 36170 and 36175 and find the biggest common factor number .

Step-1: Prime Factorization of 36170

Prime factors of 36170 are 2, 5, 3617. Prime factorization of 36170 in exponential form is:

36170 = 2¹ × 5¹ × 3617¹

Step-2: Prime Factorization of 36175

Prime factors of 36175 are 5, 1447. Prime factorization of 36175 in exponential form is:

36175 = 5² × 1447¹

Step-3: Factors of 36170

List of positive integer factors of 36170 that divides 36170 without a remainder.

1, 2, 5, 10, 3617, 7234, 18085

Step-4: Factors of 36175

List of positive integer factors of 36175 that divides 36170 without a remainder.

1, 5, 25, 1447, 7235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36170 and 36175. The biggest common factor number is the GCF number.
So the greatest common factor 36170 and 36175 is 5.

Also check out the Least Common Multiple of 36170 and 36175