What is the Greatest Common Factor of 28678 and 28696?

Greatest common factor (GCF) of 28678 and 28696 is 2.

GCF(28678,28696) = 2

We will now calculate the prime factors of 28678 and 28696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28678 and 28696.

How to find the GCF of 28678 and 28696?

We will first find the prime factorization of 28678 and 28696. After we will calculate the factors of 28678 and 28696 and find the biggest common factor number .

Step-1: Prime Factorization of 28678

Prime factors of 28678 are 2, 13, 1103. Prime factorization of 28678 in exponential form is:

28678 = 2¹ × 13¹ × 1103¹

Step-2: Prime Factorization of 28696

Prime factors of 28696 are 2, 17, 211. Prime factorization of 28696 in exponential form is:

28696 = 2³ × 17¹ × 211¹

Step-3: Factors of 28678

List of positive integer factors of 28678 that divides 28678 without a remainder.

1, 2, 13, 26, 1103, 2206, 14339

Step-4: Factors of 28696

List of positive integer factors of 28696 that divides 28678 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 211, 422, 844, 1688, 3587, 7174, 14348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28678 and 28696. The biggest common factor number is the GCF number.
So the greatest common factor 28678 and 28696 is 2.

Also check out the Least Common Multiple of 28678 and 28696