What is the Greatest Common Factor of 28378 and 28396?

Greatest common factor (GCF) of 28378 and 28396 is 2.

GCF(28378,28396) = 2

We will now calculate the prime factors of 28378 and 28396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28378 and 28396.

How to find the GCF of 28378 and 28396?

We will first find the prime factorization of 28378 and 28396. After we will calculate the factors of 28378 and 28396 and find the biggest common factor number .

Step-1: Prime Factorization of 28378

Prime factors of 28378 are 2, 7, 2027. Prime factorization of 28378 in exponential form is:

28378 = 2¹ × 7¹ × 2027¹

Step-2: Prime Factorization of 28396

Prime factors of 28396 are 2, 31, 229. Prime factorization of 28396 in exponential form is:

28396 = 2² × 31¹ × 229¹

Step-3: Factors of 28378

List of positive integer factors of 28378 that divides 28378 without a remainder.

1, 2, 7, 14, 2027, 4054, 14189

Step-4: Factors of 28396

List of positive integer factors of 28396 that divides 28378 without a remainder.

1, 2, 4, 31, 62, 124, 229, 458, 916, 7099, 14198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28378 and 28396. The biggest common factor number is the GCF number.
So the greatest common factor 28378 and 28396 is 2.

Also check out the Least Common Multiple of 28378 and 28396