What is the Greatest Common Factor of 88180 and 88190?

Greatest common factor (GCF) of 88180 and 88190 is 10.

GCF(88180,88190) = 10

We will now calculate the prime factors of 88180 and 88190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88180 and 88190.

How to find the GCF of 88180 and 88190?

We will first find the prime factorization of 88180 and 88190. After we will calculate the factors of 88180 and 88190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88190

Prime factors of 88190 are 2, 5, 8819. Prime factorization of 88190 in exponential form is:

88190 = 2¹ × 5¹ × 8819¹

Step-3: Factors of 88180

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

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

Step-4: Factors of 88190

List of positive integer factors of 88190 that divides 88180 without a remainder.

1, 2, 5, 10, 8819, 17638, 44095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88180 and 88190. The biggest common factor number is the GCF number.
So the greatest common factor 88180 and 88190 is 10.

Also check out the Least Common Multiple of 88180 and 88190