What is the Greatest Common Factor of 90118 and 90122?

Greatest common factor (GCF) of 90118 and 90122 is 2.

GCF(90118,90122) = 2

We will now calculate the prime factors of 90118 and 90122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90118 and 90122.

How to find the GCF of 90118 and 90122?

We will first find the prime factorization of 90118 and 90122. After we will calculate the factors of 90118 and 90122 and find the biggest common factor number .

Step-1: Prime Factorization of 90118

Prime factors of 90118 are 2, 7, 41, 157. Prime factorization of 90118 in exponential form is:

90118 = 2¹ × 7¹ × 41¹ × 157¹

Step-2: Prime Factorization of 90122

Prime factors of 90122 are 2, 45061. Prime factorization of 90122 in exponential form is:

90122 = 2¹ × 45061¹

Step-3: Factors of 90118

List of positive integer factors of 90118 that divides 90118 without a remainder.

1, 2, 7, 14, 41, 82, 157, 287, 314, 574, 1099, 2198, 6437, 12874, 45059

Step-4: Factors of 90122

List of positive integer factors of 90122 that divides 90118 without a remainder.

1, 2, 45061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90118 and 90122. The biggest common factor number is the GCF number.
So the greatest common factor 90118 and 90122 is 2.

Also check out the Least Common Multiple of 90118 and 90122