What is the Greatest Common Factor of 28688 and 28698?

Greatest common factor (GCF) of 28688 and 28698 is 2.

GCF(28688,28698) = 2

We will now calculate the prime factors of 28688 and 28698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28688 and 28698.

How to find the GCF of 28688 and 28698?

We will first find the prime factorization of 28688 and 28698. After we will calculate the factors of 28688 and 28698 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 28698

Prime factors of 28698 are 2, 3, 4783. Prime factorization of 28698 in exponential form is:

28698 = 2¹ × 3¹ × 4783¹

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 28698

List of positive integer factors of 28698 that divides 28688 without a remainder.

1, 2, 3, 6, 4783, 9566, 14349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28688 and 28698. The biggest common factor number is the GCF number.
So the greatest common factor 28688 and 28698 is 2.

Also check out the Least Common Multiple of 28688 and 28698