What is the Greatest Common Factor of 99897 and 99903?

Greatest common factor (GCF) of 99897 and 99903 is 3.

GCF(99897,99903) = 3

We will now calculate the prime factors of 99897 and 99903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99897 and 99903.

How to find the GCF of 99897 and 99903?

We will first find the prime factorization of 99897 and 99903. After we will calculate the factors of 99897 and 99903 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 99903

Prime factors of 99903 are 3, 33301. Prime factorization of 99903 in exponential form is:

99903 = 3¹ × 33301¹

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 99903

List of positive integer factors of 99903 that divides 99897 without a remainder.

1, 3, 33301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99897 and 99903. The biggest common factor number is the GCF number.
So the greatest common factor 99897 and 99903 is 3.

Also check out the Least Common Multiple of 99897 and 99903