What is the Greatest Common Factor of 28890 and 28908?

Greatest common factor (GCF) of 28890 and 28908 is 18.

GCF(28890,28908) = 18

We will now calculate the prime factors of 28890 and 28908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28890 and 28908.

How to find the GCF of 28890 and 28908?

We will first find the prime factorization of 28890 and 28908. After we will calculate the factors of 28890 and 28908 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 28908

Prime factors of 28908 are 2, 3, 11, 73. Prime factorization of 28908 in exponential form is:

28908 = 2² × 3² × 11¹ × 73¹

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 28908

List of positive integer factors of 28908 that divides 28890 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 73, 99, 132, 146, 198, 219, 292, 396, 438, 657, 803, 876, 1314, 1606, 2409, 2628, 3212, 4818, 7227, 9636, 14454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28890 and 28908. The biggest common factor number is the GCF number.
So the greatest common factor 28890 and 28908 is 18.

Also check out the Least Common Multiple of 28890 and 28908