What is the Greatest Common Factor of 612 and 618?

Greatest common factor (GCF) of 612 and 618 is 6.

GCF(612,618) = 6

We will now calculate the prime factors of 612 and 618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 612 and 618.

How to find the GCF of 612 and 618?

We will first find the prime factorization of 612 and 618. After we will calculate the factors of 612 and 618 and find the biggest common factor number .

Step-1: Prime Factorization of 612

Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:

612 = 2² × 3² × 17¹

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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306

Step-4: Factors of 618

List of positive integer factors of 618 that divides 612 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 612 and 618. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 618 is 6.

Also check out the Least Common Multiple of 612 and 618