What is the Greatest Common Factor of 28618 and 28638?

Greatest common factor (GCF) of 28618 and 28638 is 2.

GCF(28618,28638) = 2

We will now calculate the prime factors of 28618 and 28638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28618 and 28638.

How to find the GCF of 28618 and 28638?

We will first find the prime factorization of 28618 and 28638. After we will calculate the factors of 28618 and 28638 and find the biggest common factor number .

Step-1: Prime Factorization of 28618

Prime factors of 28618 are 2, 41, 349. Prime factorization of 28618 in exponential form is:

28618 = 2¹ × 41¹ × 349¹

Step-2: Prime Factorization of 28638

Prime factors of 28638 are 2, 3, 37, 43. Prime factorization of 28638 in exponential form is:

28638 = 2¹ × 3² × 37¹ × 43¹

Step-3: Factors of 28618

List of positive integer factors of 28618 that divides 28618 without a remainder.

1, 2, 41, 82, 349, 698, 14309

Step-4: Factors of 28638

List of positive integer factors of 28638 that divides 28618 without a remainder.

1, 2, 3, 6, 9, 18, 37, 43, 74, 86, 111, 129, 222, 258, 333, 387, 666, 774, 1591, 3182, 4773, 9546, 14319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28618 and 28638. The biggest common factor number is the GCF number.
So the greatest common factor 28618 and 28638 is 2.

Also check out the Least Common Multiple of 28618 and 28638