What is the Greatest Common Factor of 28274 and 28288?

Greatest common factor (GCF) of 28274 and 28288 is 2.

GCF(28274,28288) = 2

We will now calculate the prime factors of 28274 and 28288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28274 and 28288.

How to find the GCF of 28274 and 28288?

We will first find the prime factorization of 28274 and 28288. After we will calculate the factors of 28274 and 28288 and find the biggest common factor number .

Step-1: Prime Factorization of 28274

Prime factors of 28274 are 2, 67, 211. Prime factorization of 28274 in exponential form is:

28274 = 2¹ × 67¹ × 211¹

Step-2: Prime Factorization of 28288

Prime factors of 28288 are 2, 13, 17. Prime factorization of 28288 in exponential form is:

28288 = 2⁷ × 13¹ × 17¹

Step-3: Factors of 28274

List of positive integer factors of 28274 that divides 28274 without a remainder.

1, 2, 67, 134, 211, 422, 14137

Step-4: Factors of 28288

List of positive integer factors of 28288 that divides 28274 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 128, 136, 208, 221, 272, 416, 442, 544, 832, 884, 1088, 1664, 1768, 2176, 3536, 7072, 14144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28274 and 28288. The biggest common factor number is the GCF number.
So the greatest common factor 28274 and 28288 is 2.

Also check out the Least Common Multiple of 28274 and 28288