What is the Greatest Common Factor of 90099 and 90107?

Greatest common factor (GCF) of 90099 and 90107 is 1.

GCF(90099,90107) = 1

We will now calculate the prime factors of 90099 and 90107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90099 and 90107.

How to find the GCF of 90099 and 90107?

We will first find the prime factorization of 90099 and 90107. After we will calculate the factors of 90099 and 90107 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 90107

Prime factors of 90107 are 90107. Prime factorization of 90107 in exponential form is:

90107 = 90107¹

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 90107

List of positive integer factors of 90107 that divides 90099 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90099 and 90107. The biggest common factor number is the GCF number.
So the greatest common factor 90099 and 90107 is 1.

Also check out the Least Common Multiple of 90099 and 90107