What is the Greatest Common Factor of 99957 and 99977?

Greatest common factor (GCF) of 99957 and 99977 is 1.

GCF(99957,99977) = 1

We will now calculate the prime factors of 99957 and 99977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99957 and 99977.

How to find the GCF of 99957 and 99977?

We will first find the prime factorization of 99957 and 99977. After we will calculate the factors of 99957 and 99977 and find the biggest common factor number .

Step-1: Prime Factorization of 99957

Prime factors of 99957 are 3, 11, 13, 233. Prime factorization of 99957 in exponential form is:

99957 = 3¹ × 11¹ × 13¹ × 233¹

Step-2: Prime Factorization of 99977

Prime factors of 99977 are 17, 5881. Prime factorization of 99977 in exponential form is:

99977 = 17¹ × 5881¹

Step-3: Factors of 99957

List of positive integer factors of 99957 that divides 99957 without a remainder.

1, 3, 11, 13, 33, 39, 143, 233, 429, 699, 2563, 3029, 7689, 9087, 33319

Step-4: Factors of 99977

List of positive integer factors of 99977 that divides 99957 without a remainder.

1, 17, 5881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99957 and 99977. The biggest common factor number is the GCF number.
So the greatest common factor 99957 and 99977 is 1.

Also check out the Least Common Multiple of 99957 and 99977