What is the Greatest Common Factor of 99617 and 99636?

Greatest common factor (GCF) of 99617 and 99636 is 19.

GCF(99617,99636) = 19

We will now calculate the prime factors of 99617 and 99636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99617 and 99636.

How to find the GCF of 99617 and 99636?

We will first find the prime factorization of 99617 and 99636. After we will calculate the factors of 99617 and 99636 and find the biggest common factor number .

Step-1: Prime Factorization of 99617

Prime factors of 99617 are 7, 19, 107. Prime factorization of 99617 in exponential form is:

99617 = 7² × 19¹ × 107¹

Step-2: Prime Factorization of 99636

Prime factors of 99636 are 2, 3, 19, 23. Prime factorization of 99636 in exponential form is:

99636 = 2² × 3¹ × 19² × 23¹

Step-3: Factors of 99617

List of positive integer factors of 99617 that divides 99617 without a remainder.

1, 7, 19, 49, 107, 133, 749, 931, 2033, 5243, 14231

Step-4: Factors of 99636

List of positive integer factors of 99636 that divides 99617 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 361, 437, 722, 874, 1083, 1311, 1444, 1748, 2166, 2622, 4332, 5244, 8303, 16606, 24909, 33212, 49818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99617 and 99636. The biggest common factor number is the GCF number.
So the greatest common factor 99617 and 99636 is 19.

Also check out the Least Common Multiple of 99617 and 99636