What is the Greatest Common Factor of 99059 and 99077?

Greatest common factor (GCF) of 99059 and 99077 is 1.

GCF(99059,99077) = 1

We will now calculate the prime factors of 99059 and 99077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99059 and 99077.

How to find the GCF of 99059 and 99077?

We will first find the prime factorization of 99059 and 99077. After we will calculate the factors of 99059 and 99077 and find the biggest common factor number .

Step-1: Prime Factorization of 99059

Prime factors of 99059 are 17, 5827. Prime factorization of 99059 in exponential form is:

99059 = 17¹ × 5827¹

Step-2: Prime Factorization of 99077

Prime factors of 99077 are 11, 9007. Prime factorization of 99077 in exponential form is:

99077 = 11¹ × 9007¹

Step-3: Factors of 99059

List of positive integer factors of 99059 that divides 99059 without a remainder.

1, 17, 5827

Step-4: Factors of 99077

List of positive integer factors of 99077 that divides 99059 without a remainder.

1, 11, 9007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99059 and 99077. The biggest common factor number is the GCF number.
So the greatest common factor 99059 and 99077 is 1.

Also check out the Least Common Multiple of 99059 and 99077