What is the Greatest Common Factor of 28890 and 28905?

Greatest common factor (GCF) of 28890 and 28905 is 15.

GCF(28890,28905) = 15

We will now calculate the prime factors of 28890 and 28905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28890 and 28905.

How to find the GCF of 28890 and 28905?

We will first find the prime factorization of 28890 and 28905. After we will calculate the factors of 28890 and 28905 and find the biggest common factor number .

Step-1: Prime Factorization of 28890

Prime factors of 28890 are 2, 3, 5, 107. Prime factorization of 28890 in exponential form is:

28890 = 2¹ × 3³ × 5¹ × 107¹

Step-2: Prime Factorization of 28905

Prime factors of 28905 are 3, 5, 41, 47. Prime factorization of 28905 in exponential form is:

28905 = 3¹ × 5¹ × 41¹ × 47¹

Step-3: Factors of 28890

List of positive integer factors of 28890 that divides 28890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 107, 135, 214, 270, 321, 535, 642, 963, 1070, 1605, 1926, 2889, 3210, 4815, 5778, 9630, 14445

Step-4: Factors of 28905

List of positive integer factors of 28905 that divides 28890 without a remainder.

1, 3, 5, 15, 41, 47, 123, 141, 205, 235, 615, 705, 1927, 5781, 9635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28890 and 28905. The biggest common factor number is the GCF number.
So the greatest common factor 28890 and 28905 is 15.

Also check out the Least Common Multiple of 28890 and 28905