What is the Greatest Common Factor of 28074 and 28082?

Greatest common factor (GCF) of 28074 and 28082 is 2.

GCF(28074,28082) = 2

We will now calculate the prime factors of 28074 and 28082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28074 and 28082.

How to find the GCF of 28074 and 28082?

We will first find the prime factorization of 28074 and 28082. After we will calculate the factors of 28074 and 28082 and find the biggest common factor number .

Step-1: Prime Factorization of 28074

Prime factors of 28074 are 2, 3, 4679. Prime factorization of 28074 in exponential form is:

28074 = 2¹ × 3¹ × 4679¹

Step-2: Prime Factorization of 28082

Prime factors of 28082 are 2, 19, 739. Prime factorization of 28082 in exponential form is:

28082 = 2¹ × 19¹ × 739¹

Step-3: Factors of 28074

List of positive integer factors of 28074 that divides 28074 without a remainder.

1, 2, 3, 6, 4679, 9358, 14037

Step-4: Factors of 28082

List of positive integer factors of 28082 that divides 28074 without a remainder.

1, 2, 19, 38, 739, 1478, 14041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28074 and 28082. The biggest common factor number is the GCF number.
So the greatest common factor 28074 and 28082 is 2.

Also check out the Least Common Multiple of 28074 and 28082