What is the Greatest Common Factor of 90104 and 90118?

Greatest common factor (GCF) of 90104 and 90118 is 14.

GCF(90104,90118) = 14

We will now calculate the prime factors of 90104 and 90118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90104 and 90118.

How to find the GCF of 90104 and 90118?

We will first find the prime factorization of 90104 and 90118. After we will calculate the factors of 90104 and 90118 and find the biggest common factor number .

Step-1: Prime Factorization of 90104

Prime factors of 90104 are 2, 7, 1609. Prime factorization of 90104 in exponential form is:

90104 = 2³ × 7¹ × 1609¹

Step-2: 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-3: Factors of 90104

List of positive integer factors of 90104 that divides 90104 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1609, 3218, 6436, 11263, 12872, 22526, 45052

Step-4: Factors of 90118

List of positive integer factors of 90118 that divides 90104 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90104 and 90118. The biggest common factor number is the GCF number.
So the greatest common factor 90104 and 90118 is 14.

Also check out the Least Common Multiple of 90104 and 90118