What is the Greatest Common Factor of 28678 and 28682?

Greatest common factor (GCF) of 28678 and 28682 is 2.

GCF(28678,28682) = 2

We will now calculate the prime factors of 28678 and 28682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28678 and 28682.

How to find the GCF of 28678 and 28682?

We will first find the prime factorization of 28678 and 28682. After we will calculate the factors of 28678 and 28682 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 28682

Prime factors of 28682 are 2, 14341. Prime factorization of 28682 in exponential form is:

28682 = 2¹ × 14341¹

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 28682

List of positive integer factors of 28682 that divides 28678 without a remainder.

1, 2, 14341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28678 and 28682. The biggest common factor number is the GCF number.
So the greatest common factor 28678 and 28682 is 2.

Also check out the Least Common Multiple of 28678 and 28682