What is the Greatest Common Factor of 88170 and 88180?

Greatest common factor (GCF) of 88170 and 88180 is 10.

GCF(88170,88180) = 10

We will now calculate the prime factors of 88170 and 88180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88170 and 88180.

How to find the GCF of 88170 and 88180?

We will first find the prime factorization of 88170 and 88180. After we will calculate the factors of 88170 and 88180 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 88180

Prime factors of 88180 are 2, 5, 4409. Prime factorization of 88180 in exponential form is:

88180 = 2² × 5¹ × 4409¹

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 88180

List of positive integer factors of 88180 that divides 88170 without a remainder.

1, 2, 4, 5, 10, 20, 4409, 8818, 17636, 22045, 44090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88170 and 88180. The biggest common factor number is the GCF number.
So the greatest common factor 88170 and 88180 is 10.

Also check out the Least Common Multiple of 88170 and 88180