What is the Greatest Common Factor of 99600 and 99617?

Greatest common factor (GCF) of 99600 and 99617 is 1.

GCF(99600,99617) = 1

We will now calculate the prime factors of 99600 and 99617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99600 and 99617.

How to find the GCF of 99600 and 99617?

We will first find the prime factorization of 99600 and 99617. After we will calculate the factors of 99600 and 99617 and find the biggest common factor number .

Step-1: Prime Factorization of 99600

Prime factors of 99600 are 2, 3, 5, 83. Prime factorization of 99600 in exponential form is:

99600 = 2⁴ × 3¹ × 5² × 83¹

Step-2: 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-3: Factors of 99600

List of positive integer factors of 99600 that divides 99600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 83, 100, 120, 150, 166, 200, 240, 249, 300, 332, 400, 415, 498, 600, 664, 830, 996, 1200, 1245, 1328, 1660, 1992, 2075, 2490, 3320, 3984, 4150, 4980, 6225, 6640, 8300, 9960, 12450, 16600, 19920, 24900, 33200, 49800

Step-4: Factors of 99617

List of positive integer factors of 99617 that divides 99600 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99600 and 99617. The biggest common factor number is the GCF number.
So the greatest common factor 99600 and 99617 is 1.

Also check out the Least Common Multiple of 99600 and 99617