What is the Greatest Common Factor of 98600 and 98609?

Greatest common factor (GCF) of 98600 and 98609 is 1.

GCF(98600,98609) = 1

We will now calculate the prime factors of 98600 and 98609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98600 and 98609.

How to find the GCF of 98600 and 98609?

We will first find the prime factorization of 98600 and 98609. After we will calculate the factors of 98600 and 98609 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 98609

Prime factors of 98609 are 7, 14087. Prime factorization of 98609 in exponential form is:

98609 = 7¹ × 14087¹

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 98609

List of positive integer factors of 98609 that divides 98600 without a remainder.

1, 7, 14087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98600 and 98609. The biggest common factor number is the GCF number.
So the greatest common factor 98600 and 98609 is 1.

Also check out the Least Common Multiple of 98600 and 98609