What is the Greatest Common Factor of 30604 and 30618?

Greatest common factor (GCF) of 30604 and 30618 is 14.

GCF(30604,30618) = 14

We will now calculate the prime factors of 30604 and 30618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30604 and 30618.

How to find the GCF of 30604 and 30618?

We will first find the prime factorization of 30604 and 30618. After we will calculate the factors of 30604 and 30618 and find the biggest common factor number .

Step-1: Prime Factorization of 30604

Prime factors of 30604 are 2, 7, 1093. Prime factorization of 30604 in exponential form is:

30604 = 2² × 7¹ × 1093¹

Step-2: Prime Factorization of 30618

Prime factors of 30618 are 2, 3, 7. Prime factorization of 30618 in exponential form is:

30618 = 2¹ × 3⁷ × 7¹

Step-3: Factors of 30604

List of positive integer factors of 30604 that divides 30604 without a remainder.

1, 2, 4, 7, 14, 28, 1093, 2186, 4372, 7651, 15302

Step-4: Factors of 30618

List of positive integer factors of 30618 that divides 30604 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 729, 1134, 1458, 1701, 2187, 3402, 4374, 5103, 10206, 15309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30604 and 30618. The biggest common factor number is the GCF number.
So the greatest common factor 30604 and 30618 is 14.

Also check out the Least Common Multiple of 30604 and 30618