What is the Greatest Common Factor of 99617 and 99631?

Greatest common factor (GCF) of 99617 and 99631 is 7.

GCF(99617,99631) = 7

We will now calculate the prime factors of 99617 and 99631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99617 and 99631.

How to find the GCF of 99617 and 99631?

We will first find the prime factorization of 99617 and 99631. After we will calculate the factors of 99617 and 99631 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 99631

Prime factors of 99631 are 7, 43, 331. Prime factorization of 99631 in exponential form is:

99631 = 7¹ × 43¹ × 331¹

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 99631

List of positive integer factors of 99631 that divides 99617 without a remainder.

1, 7, 43, 301, 331, 2317, 14233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99617 and 99631. The biggest common factor number is the GCF number.
So the greatest common factor 99617 and 99631 is 7.

Also check out the Least Common Multiple of 99617 and 99631