What is the Greatest Common Factor of 99897 and 99908?

Greatest common factor (GCF) of 99897 and 99908 is 1.

GCF(99897,99908) = 1

We will now calculate the prime factors of 99897 and 99908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99897 and 99908.

How to find the GCF of 99897 and 99908?

We will first find the prime factorization of 99897 and 99908. After we will calculate the factors of 99897 and 99908 and find the biggest common factor number .

Step-1: Prime Factorization of 99897

Prime factors of 99897 are 3, 7, 67, 71. Prime factorization of 99897 in exponential form is:

99897 = 3¹ × 7¹ × 67¹ × 71¹

Step-2: Prime Factorization of 99908

Prime factors of 99908 are 2, 24977. Prime factorization of 99908 in exponential form is:

99908 = 2² × 24977¹

Step-3: Factors of 99897

List of positive integer factors of 99897 that divides 99897 without a remainder.

1, 3, 7, 21, 67, 71, 201, 213, 469, 497, 1407, 1491, 4757, 14271, 33299

Step-4: Factors of 99908

List of positive integer factors of 99908 that divides 99897 without a remainder.

1, 2, 4, 24977, 49954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99897 and 99908. The biggest common factor number is the GCF number.
So the greatest common factor 99897 and 99908 is 1.

Also check out the Least Common Multiple of 99897 and 99908