What is the Greatest Common Factor of 98612 and 98618?

Greatest common factor (GCF) of 98612 and 98618 is 2.

GCF(98612,98618) = 2

We will now calculate the prime factors of 98612 and 98618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98612 and 98618.

How to find the GCF of 98612 and 98618?

We will first find the prime factorization of 98612 and 98618. After we will calculate the factors of 98612 and 98618 and find the biggest common factor number .

Step-1: Prime Factorization of 98612

Prime factors of 98612 are 2, 89, 277. Prime factorization of 98612 in exponential form is:

98612 = 2² × 89¹ × 277¹

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 98612

List of positive integer factors of 98612 that divides 98612 without a remainder.

1, 2, 4, 89, 178, 277, 356, 554, 1108, 24653, 49306

Step-4: Factors of 98618

List of positive integer factors of 98618 that divides 98612 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98612 and 98618. The biggest common factor number is the GCF number.
So the greatest common factor 98612 and 98618 is 2.

Also check out the Least Common Multiple of 98612 and 98618