What is the Greatest Common Factor of 88190 and 88210?

Greatest common factor (GCF) of 88190 and 88210 is 10.

GCF(88190,88210) = 10

We will now calculate the prime factors of 88190 and 88210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88190 and 88210.

How to find the GCF of 88190 and 88210?

We will first find the prime factorization of 88190 and 88210. After we will calculate the factors of 88190 and 88210 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88210

Prime factors of 88210 are 2, 5, 8821. Prime factorization of 88210 in exponential form is:

88210 = 2¹ × 5¹ × 8821¹

Step-3: Factors of 88190

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

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

Step-4: Factors of 88210

List of positive integer factors of 88210 that divides 88190 without a remainder.

1, 2, 5, 10, 8821, 17642, 44105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88190 and 88210. The biggest common factor number is the GCF number.
So the greatest common factor 88190 and 88210 is 10.

Also check out the Least Common Multiple of 88190 and 88210