What is the Greatest Common Factor of 36170 and 36190?

Greatest common factor (GCF) of 36170 and 36190 is 10.

GCF(36170,36190) = 10

We will now calculate the prime factors of 36170 and 36190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36170 and 36190.

How to find the GCF of 36170 and 36190?

We will first find the prime factorization of 36170 and 36190. After we will calculate the factors of 36170 and 36190 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 36190

Prime factors of 36190 are 2, 5, 7, 11, 47. Prime factorization of 36190 in exponential form is:

36190 = 2¹ × 5¹ × 7¹ × 11¹ × 47¹

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 36190

List of positive integer factors of 36190 that divides 36170 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 47, 55, 70, 77, 94, 110, 154, 235, 329, 385, 470, 517, 658, 770, 1034, 1645, 2585, 3290, 3619, 5170, 7238, 18095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36170 and 36190. The biggest common factor number is the GCF number.
So the greatest common factor 36170 and 36190 is 10.

Also check out the Least Common Multiple of 36170 and 36190