What is the Greatest Common Factor of 90091 and 90099?

Greatest common factor (GCF) of 90091 and 90099 is 1.

GCF(90091,90099) = 1

We will now calculate the prime factors of 90091 and 90099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90091 and 90099.

How to find the GCF of 90091 and 90099?

We will first find the prime factorization of 90091 and 90099. After we will calculate the factors of 90091 and 90099 and find the biggest common factor number .

Step-1: Prime Factorization of 90091

Prime factors of 90091 are 23, 3917. Prime factorization of 90091 in exponential form is:

90091 = 23¹ × 3917¹

Step-2: 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-3: Factors of 90091

List of positive integer factors of 90091 that divides 90091 without a remainder.

1, 23, 3917

Step-4: Factors of 90099

List of positive integer factors of 90099 that divides 90091 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90091 and 90099. The biggest common factor number is the GCF number.
So the greatest common factor 90091 and 90099 is 1.

Also check out the Least Common Multiple of 90091 and 90099