What is the Greatest Common Factor of 28688 and 28699?

Greatest common factor (GCF) of 28688 and 28699 is 11.

GCF(28688,28699) = 11

We will now calculate the prime factors of 28688 and 28699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28688 and 28699.

How to find the GCF of 28688 and 28699?

We will first find the prime factorization of 28688 and 28699. After we will calculate the factors of 28688 and 28699 and find the biggest common factor number .

Step-1: Prime Factorization of 28688

Prime factors of 28688 are 2, 11, 163. Prime factorization of 28688 in exponential form is:

28688 = 2⁴ × 11¹ × 163¹

Step-2: Prime Factorization of 28699

Prime factors of 28699 are 11, 2609. Prime factorization of 28699 in exponential form is:

28699 = 11¹ × 2609¹

Step-3: Factors of 28688

List of positive integer factors of 28688 that divides 28688 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 163, 176, 326, 652, 1304, 1793, 2608, 3586, 7172, 14344

Step-4: Factors of 28699

List of positive integer factors of 28699 that divides 28688 without a remainder.

1, 11, 2609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28688 and 28699. The biggest common factor number is the GCF number.
So the greatest common factor 28688 and 28699 is 11.

Also check out the Least Common Multiple of 28688 and 28699