What is the Greatest Common Factor of 18618 and 18628?

Greatest common factor (GCF) of 18618 and 18628 is 2.

GCF(18618,18628) = 2

We will now calculate the prime factors of 18618 and 18628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18618 and 18628.

How to find the GCF of 18618 and 18628?

We will first find the prime factorization of 18618 and 18628. After we will calculate the factors of 18618 and 18628 and find the biggest common factor number .

Step-1: Prime Factorization of 18618

Prime factors of 18618 are 2, 3, 29, 107. Prime factorization of 18618 in exponential form is:

18618 = 2¹ × 3¹ × 29¹ × 107¹

Step-2: Prime Factorization of 18628

Prime factors of 18628 are 2, 4657. Prime factorization of 18628 in exponential form is:

18628 = 2² × 4657¹

Step-3: Factors of 18618

List of positive integer factors of 18618 that divides 18618 without a remainder.

1, 2, 3, 6, 29, 58, 87, 107, 174, 214, 321, 642, 3103, 6206, 9309

Step-4: Factors of 18628

List of positive integer factors of 18628 that divides 18618 without a remainder.

1, 2, 4, 4657, 9314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18618 and 18628. The biggest common factor number is the GCF number.
So the greatest common factor 18618 and 18628 is 2.

Also check out the Least Common Multiple of 18618 and 18628