What is the Greatest Common Factor of 82604 and 82618?

Greatest common factor (GCF) of 82604 and 82618 is 2.

GCF(82604,82618) = 2

We will now calculate the prime factors of 82604 and 82618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82604 and 82618.

How to find the GCF of 82604 and 82618?

We will first find the prime factorization of 82604 and 82618. After we will calculate the factors of 82604 and 82618 and find the biggest common factor number .

Step-1: Prime Factorization of 82604

Prime factors of 82604 are 2, 107, 193. Prime factorization of 82604 in exponential form is:

82604 = 2² × 107¹ × 193¹

Step-2: Prime Factorization of 82618

Prime factors of 82618 are 2, 101, 409. Prime factorization of 82618 in exponential form is:

82618 = 2¹ × 101¹ × 409¹

Step-3: Factors of 82604

List of positive integer factors of 82604 that divides 82604 without a remainder.

1, 2, 4, 107, 193, 214, 386, 428, 772, 20651, 41302

Step-4: Factors of 82618

List of positive integer factors of 82618 that divides 82604 without a remainder.

1, 2, 101, 202, 409, 818, 41309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82604 and 82618. The biggest common factor number is the GCF number.
So the greatest common factor 82604 and 82618 is 2.

Also check out the Least Common Multiple of 82604 and 82618