What is the Greatest Common Factor of 28874 and 28894?

Greatest common factor (GCF) of 28874 and 28894 is 2.

GCF(28874,28894) = 2

We will now calculate the prime factors of 28874 and 28894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28874 and 28894.

How to find the GCF of 28874 and 28894?

We will first find the prime factorization of 28874 and 28894. After we will calculate the factors of 28874 and 28894 and find the biggest common factor number .

Step-1: Prime Factorization of 28874

Prime factors of 28874 are 2, 14437. Prime factorization of 28874 in exponential form is:

28874 = 2¹ × 14437¹

Step-2: Prime Factorization of 28894

Prime factors of 28894 are 2, 14447. Prime factorization of 28894 in exponential form is:

28894 = 2¹ × 14447¹

Step-3: Factors of 28874

List of positive integer factors of 28874 that divides 28874 without a remainder.

1, 2, 14437

Step-4: Factors of 28894

List of positive integer factors of 28894 that divides 28874 without a remainder.

1, 2, 14447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28874 and 28894. The biggest common factor number is the GCF number.
So the greatest common factor 28874 and 28894 is 2.

Also check out the Least Common Multiple of 28874 and 28894