What is the Greatest Common Factor of 98600 and 98617?

Greatest common factor (GCF) of 98600 and 98617 is 17.

GCF(98600,98617) = 17

We will now calculate the prime factors of 98600 and 98617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98600 and 98617.

How to find the GCF of 98600 and 98617?

We will first find the prime factorization of 98600 and 98617. After we will calculate the factors of 98600 and 98617 and find the biggest common factor number .

Step-1: Prime Factorization of 98600

Prime factors of 98600 are 2, 5, 17, 29. Prime factorization of 98600 in exponential form is:

98600 = 2³ × 5² × 17¹ × 29¹

Step-2: Prime Factorization of 98617

Prime factors of 98617 are 17, 5801. Prime factorization of 98617 in exponential form is:

98617 = 17¹ × 5801¹

Step-3: Factors of 98600

List of positive integer factors of 98600 that divides 98600 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 29, 34, 40, 50, 58, 68, 85, 100, 116, 136, 145, 170, 200, 232, 290, 340, 425, 493, 580, 680, 725, 850, 986, 1160, 1450, 1700, 1972, 2465, 2900, 3400, 3944, 4930, 5800, 9860, 12325, 19720, 24650, 49300

Step-4: Factors of 98617

List of positive integer factors of 98617 that divides 98600 without a remainder.

1, 17, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98600 and 98617. The biggest common factor number is the GCF number.
So the greatest common factor 98600 and 98617 is 17.

Also check out the Least Common Multiple of 98600 and 98617