What is the Greatest Common Factor of 88155 and 88170?

Greatest common factor (GCF) of 88155 and 88170 is 15.

GCF(88155,88170) = 15

We will now calculate the prime factors of 88155 and 88170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88155 and 88170.

How to find the GCF of 88155 and 88170?

We will first find the prime factorization of 88155 and 88170. After we will calculate the factors of 88155 and 88170 and find the biggest common factor number .

Step-1: Prime Factorization of 88155

Prime factors of 88155 are 3, 5, 653. Prime factorization of 88155 in exponential form is:

88155 = 3³ × 5¹ × 653¹

Step-2: 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-3: Factors of 88155

List of positive integer factors of 88155 that divides 88155 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 653, 1959, 3265, 5877, 9795, 17631, 29385

Step-4: Factors of 88170

List of positive integer factors of 88170 that divides 88155 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88155 and 88170. The biggest common factor number is the GCF number.
So the greatest common factor 88155 and 88170 is 15.

Also check out the Least Common Multiple of 88155 and 88170