What is the Greatest Common Factor of 99726 and 99737?

Greatest common factor (GCF) of 99726 and 99737 is 11.

GCF(99726,99737) = 11

We will now calculate the prime factors of 99726 and 99737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99726 and 99737.

How to find the GCF of 99726 and 99737?

We will first find the prime factorization of 99726 and 99737. After we will calculate the factors of 99726 and 99737 and find the biggest common factor number .

Step-1: Prime Factorization of 99726

Prime factors of 99726 are 2, 3, 11, 1511. Prime factorization of 99726 in exponential form is:

99726 = 2¹ × 3¹ × 11¹ × 1511¹

Step-2: Prime Factorization of 99737

Prime factors of 99737 are 11, 9067. Prime factorization of 99737 in exponential form is:

99737 = 11¹ × 9067¹

Step-3: Factors of 99726

List of positive integer factors of 99726 that divides 99726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1511, 3022, 4533, 9066, 16621, 33242, 49863

Step-4: Factors of 99737

List of positive integer factors of 99737 that divides 99726 without a remainder.

1, 11, 9067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99726 and 99737. The biggest common factor number is the GCF number.
So the greatest common factor 99726 and 99737 is 11.

Also check out the Least Common Multiple of 99726 and 99737