What is the Greatest Common Factor of 88170 and 88185?

Greatest common factor (GCF) of 88170 and 88185 is 15.

GCF(88170,88185) = 15

We will now calculate the prime factors of 88170 and 88185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88170 and 88185.

How to find the GCF of 88170 and 88185?

We will first find the prime factorization of 88170 and 88185. After we will calculate the factors of 88170 and 88185 and find the biggest common factor number .

Step-1: Prime Factorization of 88170

Prime factors of 88170 are 2, 3, 5, 2939. Prime factorization of 88170 in exponential form is:

88170 = 2¹ × 3¹ × 5¹ × 2939¹

Step-2: Prime Factorization of 88185

Prime factors of 88185 are 3, 5, 5879. Prime factorization of 88185 in exponential form is:

88185 = 3¹ × 5¹ × 5879¹

Step-3: Factors of 88170

List of positive integer factors of 88170 that divides 88170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2939, 5878, 8817, 14695, 17634, 29390, 44085

Step-4: Factors of 88185

List of positive integer factors of 88185 that divides 88170 without a remainder.

1, 3, 5, 15, 5879, 17637, 29395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88170 and 88185. The biggest common factor number is the GCF number.
So the greatest common factor 88170 and 88185 is 15.

Also check out the Least Common Multiple of 88170 and 88185