What is the Greatest Common Factor of 28322 and 28336?

Greatest common factor (GCF) of 28322 and 28336 is 14.

GCF(28322,28336) = 14

We will now calculate the prime factors of 28322 and 28336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28322 and 28336.

How to find the GCF of 28322 and 28336?

We will first find the prime factorization of 28322 and 28336. After we will calculate the factors of 28322 and 28336 and find the biggest common factor number .

Step-1: Prime Factorization of 28322

Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:

28322 = 2¹ × 7² × 17²

Step-2: Prime Factorization of 28336

Prime factors of 28336 are 2, 7, 11, 23. Prime factorization of 28336 in exponential form is:

28336 = 2⁴ × 7¹ × 11¹ × 23¹

Step-3: Factors of 28322

List of positive integer factors of 28322 that divides 28322 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 289, 578, 833, 1666, 2023, 4046, 14161

Step-4: Factors of 28336

List of positive integer factors of 28336 that divides 28322 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 44, 46, 56, 77, 88, 92, 112, 154, 161, 176, 184, 253, 308, 322, 368, 506, 616, 644, 1012, 1232, 1288, 1771, 2024, 2576, 3542, 4048, 7084, 14168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28322 and 28336. The biggest common factor number is the GCF number.
So the greatest common factor 28322 and 28336 is 14.

Also check out the Least Common Multiple of 28322 and 28336