What is the Greatest Common Factor of 99866 and 99879?

Greatest common factor (GCF) of 99866 and 99879 is 13.

GCF(99866,99879) = 13

We will now calculate the prime factors of 99866 and 99879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99866 and 99879.

How to find the GCF of 99866 and 99879?

We will first find the prime factorization of 99866 and 99879. After we will calculate the factors of 99866 and 99879 and find the biggest common factor number .

Step-1: Prime Factorization of 99866

Prime factors of 99866 are 2, 13, 23, 167. Prime factorization of 99866 in exponential form is:

99866 = 2¹ × 13¹ × 23¹ × 167¹

Step-2: Prime Factorization of 99879

Prime factors of 99879 are 3, 13, 197. Prime factorization of 99879 in exponential form is:

99879 = 3¹ × 13² × 197¹

Step-3: Factors of 99866

List of positive integer factors of 99866 that divides 99866 without a remainder.

1, 2, 13, 23, 26, 46, 167, 299, 334, 598, 2171, 3841, 4342, 7682, 49933

Step-4: Factors of 99879

List of positive integer factors of 99879 that divides 99866 without a remainder.

1, 3, 13, 39, 169, 197, 507, 591, 2561, 7683, 33293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99866 and 99879. The biggest common factor number is the GCF number.
So the greatest common factor 99866 and 99879 is 13.

Also check out the Least Common Multiple of 99866 and 99879