What is the Greatest Common Factor of 90099 and 90118?

Greatest common factor (GCF) of 90099 and 90118 is 1.

GCF(90099,90118) = 1

We will now calculate the prime factors of 90099 and 90118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90099 and 90118.

How to find the GCF of 90099 and 90118?

We will first find the prime factorization of 90099 and 90118. After we will calculate the factors of 90099 and 90118 and find the biggest common factor number .

Step-1: Prime Factorization of 90099

Prime factors of 90099 are 3, 47, 71. Prime factorization of 90099 in exponential form is:

90099 = 3³ × 47¹ × 71¹

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 90099

List of positive integer factors of 90099 that divides 90099 without a remainder.

1, 3, 9, 27, 47, 71, 141, 213, 423, 639, 1269, 1917, 3337, 10011, 30033

Step-4: Factors of 90118

List of positive integer factors of 90118 that divides 90099 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 90099 and 90118. The biggest common factor number is the GCF number.
So the greatest common factor 90099 and 90118 is 1.

Also check out the Least Common Multiple of 90099 and 90118