What is the Greatest Common Factor of 90999 and 91013?

Greatest common factor (GCF) of 90999 and 91013 is 1.

GCF(90999,91013) = 1

We will now calculate the prime factors of 90999 and 91013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90999 and 91013.

How to find the GCF of 90999 and 91013?

We will first find the prime factorization of 90999 and 91013. After we will calculate the factors of 90999 and 91013 and find the biggest common factor number .

Step-1: Prime Factorization of 90999

Prime factors of 90999 are 3, 10111. Prime factorization of 90999 in exponential form is:

90999 = 3² × 10111¹

Step-2: Prime Factorization of 91013

Prime factors of 91013 are 13, 7001. Prime factorization of 91013 in exponential form is:

91013 = 13¹ × 7001¹

Step-3: Factors of 90999

List of positive integer factors of 90999 that divides 90999 without a remainder.

1, 3, 9, 10111, 30333

Step-4: Factors of 91013

List of positive integer factors of 91013 that divides 90999 without a remainder.

1, 13, 7001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90999 and 91013. The biggest common factor number is the GCF number.
So the greatest common factor 90999 and 91013 is 1.

Also check out the Least Common Multiple of 90999 and 91013