What is the Greatest Common Factor of 99658 and 99671?

Greatest common factor (GCF) of 99658 and 99671 is 13.

GCF(99658,99671) = 13

We will now calculate the prime factors of 99658 and 99671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99658 and 99671.

How to find the GCF of 99658 and 99671?

We will first find the prime factorization of 99658 and 99671. After we will calculate the factors of 99658 and 99671 and find the biggest common factor number .

Step-1: Prime Factorization of 99658

Prime factors of 99658 are 2, 13, 3833. Prime factorization of 99658 in exponential form is:

99658 = 2¹ × 13¹ × 3833¹

Step-2: Prime Factorization of 99671

Prime factors of 99671 are 11, 13, 17, 41. Prime factorization of 99671 in exponential form is:

99671 = 11¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 99658

List of positive integer factors of 99658 that divides 99658 without a remainder.

1, 2, 13, 26, 3833, 7666, 49829

Step-4: Factors of 99671

List of positive integer factors of 99671 that divides 99658 without a remainder.

1, 11, 13, 17, 41, 143, 187, 221, 451, 533, 697, 2431, 5863, 7667, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99658 and 99671. The biggest common factor number is the GCF number.
So the greatest common factor 99658 and 99671 is 13.

Also check out the Least Common Multiple of 99658 and 99671