What is the Greatest Common Factor of 604 and 618?

Greatest common factor (GCF) of 604 and 618 is 2.

GCF(604,618) = 2

We will now calculate the prime factors of 604 and 618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 604 and 618.

How to find the GCF of 604 and 618?

We will first find the prime factorization of 604 and 618. After we will calculate the factors of 604 and 618 and find the biggest common factor number .

Step-1: Prime Factorization of 604

Prime factors of 604 are 2, 151. Prime factorization of 604 in exponential form is:

604 = 2² × 151¹

Step-2: Prime Factorization of 618

Prime factors of 618 are 2, 3, 103. Prime factorization of 618 in exponential form is:

618 = 2¹ × 3¹ × 103¹

Step-3: Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302

Step-4: Factors of 618

List of positive integer factors of 618 that divides 604 without a remainder.

1, 2, 3, 6, 103, 206, 309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 604 and 618. The biggest common factor number is the GCF number.
So the greatest common factor 604 and 618 is 2.

Also check out the Least Common Multiple of 604 and 618