What is the Greatest Common Factor of 99957 and 99969?

Greatest common factor (GCF) of 99957 and 99969 is 3.

GCF(99957,99969) = 3

We will now calculate the prime factors of 99957 and 99969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99957 and 99969.

How to find the GCF of 99957 and 99969?

We will first find the prime factorization of 99957 and 99969. After we will calculate the factors of 99957 and 99969 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 99969

Prime factors of 99969 are 3, 47, 709. Prime factorization of 99969 in exponential form is:

99969 = 3¹ × 47¹ × 709¹

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 99969

List of positive integer factors of 99969 that divides 99957 without a remainder.

1, 3, 47, 141, 709, 2127, 33323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99957 and 99969. The biggest common factor number is the GCF number.
So the greatest common factor 99957 and 99969 is 3.

Also check out the Least Common Multiple of 99957 and 99969