What is the Greatest Common Factor of 99969 and 99987?

Greatest common factor (GCF) of 99969 and 99987 is 3.

GCF(99969,99987) = 3

We will now calculate the prime factors of 99969 and 99987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99969 and 99987.

How to find the GCF of 99969 and 99987?

We will first find the prime factorization of 99969 and 99987. After we will calculate the factors of 99969 and 99987 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99987

Prime factors of 99987 are 3, 33329. Prime factorization of 99987 in exponential form is:

99987 = 3¹ × 33329¹

Step-3: Factors of 99969

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

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

Step-4: Factors of 99987

List of positive integer factors of 99987 that divides 99969 without a remainder.

1, 3, 33329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99969 and 99987. The biggest common factor number is the GCF number.
So the greatest common factor 99969 and 99987 is 3.

Also check out the Least Common Multiple of 99969 and 99987