What is the Greatest Common Factor of 28600 and 28618?

Greatest common factor (GCF) of 28600 and 28618 is 2.

GCF(28600,28618) = 2

We will now calculate the prime factors of 28600 and 28618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28600 and 28618.

How to find the GCF of 28600 and 28618?

We will first find the prime factorization of 28600 and 28618. After we will calculate the factors of 28600 and 28618 and find the biggest common factor number .

Step-1: Prime Factorization of 28600

Prime factors of 28600 are 2, 5, 11, 13. Prime factorization of 28600 in exponential form is:

28600 = 2³ × 5² × 11¹ × 13¹

Step-2: 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-3: Factors of 28600

List of positive integer factors of 28600 that divides 28600 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 25, 26, 40, 44, 50, 52, 55, 65, 88, 100, 104, 110, 130, 143, 200, 220, 260, 275, 286, 325, 440, 520, 550, 572, 650, 715, 1100, 1144, 1300, 1430, 2200, 2600, 2860, 3575, 5720, 7150, 14300

Step-4: Factors of 28618

List of positive integer factors of 28618 that divides 28600 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28600 and 28618. The biggest common factor number is the GCF number.
So the greatest common factor 28600 and 28618 is 2.

Also check out the Least Common Multiple of 28600 and 28618