What is the Greatest Common Factor of 98600 and 98618?

Greatest common factor (GCF) of 98600 and 98618 is 2.

GCF(98600,98618) = 2

We will now calculate the prime factors of 98600 and 98618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98600 and 98618.

How to find the GCF of 98600 and 98618?

We will first find the prime factorization of 98600 and 98618. After we will calculate the factors of 98600 and 98618 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 98618

Prime factors of 98618 are 2, 13, 3793. Prime factorization of 98618 in exponential form is:

98618 = 2¹ × 13¹ × 3793¹

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 98618

List of positive integer factors of 98618 that divides 98600 without a remainder.

1, 2, 13, 26, 3793, 7586, 49309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98600 and 98618. The biggest common factor number is the GCF number.
So the greatest common factor 98600 and 98618 is 2.

Also check out the Least Common Multiple of 98600 and 98618