What is the Greatest Common Factor of 28874 and 28890?

Greatest common factor (GCF) of 28874 and 28890 is 2.

GCF(28874,28890) = 2

We will now calculate the prime factors of 28874 and 28890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28874 and 28890.

How to find the GCF of 28874 and 28890?

We will first find the prime factorization of 28874 and 28890. After we will calculate the factors of 28874 and 28890 and find the biggest common factor number .

Step-1: Prime Factorization of 28874

Prime factors of 28874 are 2, 14437. Prime factorization of 28874 in exponential form is:

28874 = 2¹ × 14437¹

Step-2: 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-3: Factors of 28874

List of positive integer factors of 28874 that divides 28874 without a remainder.

1, 2, 14437

Step-4: Factors of 28890

List of positive integer factors of 28890 that divides 28874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28874 and 28890. The biggest common factor number is the GCF number.
So the greatest common factor 28874 and 28890 is 2.

Also check out the Least Common Multiple of 28874 and 28890