What is the Greatest Common Factor of 28899 and 28914?

Greatest common factor (GCF) of 28899 and 28914 is 3.

GCF(28899,28914) = 3

We will now calculate the prime factors of 28899 and 28914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28899 and 28914.

How to find the GCF of 28899 and 28914?

We will first find the prime factorization of 28899 and 28914. After we will calculate the factors of 28899 and 28914 and find the biggest common factor number .

Step-1: Prime Factorization of 28899

Prime factors of 28899 are 3, 13, 19. Prime factorization of 28899 in exponential form is:

28899 = 3² × 13² × 19¹

Step-2: Prime Factorization of 28914

Prime factors of 28914 are 2, 3, 61, 79. Prime factorization of 28914 in exponential form is:

28914 = 2¹ × 3¹ × 61¹ × 79¹

Step-3: Factors of 28899

List of positive integer factors of 28899 that divides 28899 without a remainder.

1, 3, 9, 13, 19, 39, 57, 117, 169, 171, 247, 507, 741, 1521, 2223, 3211, 9633

Step-4: Factors of 28914

List of positive integer factors of 28914 that divides 28899 without a remainder.

1, 2, 3, 6, 61, 79, 122, 158, 183, 237, 366, 474, 4819, 9638, 14457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28899 and 28914. The biggest common factor number is the GCF number.
So the greatest common factor 28899 and 28914 is 3.

Also check out the Least Common Multiple of 28899 and 28914