What is the Greatest Common Factor of 28397 and 28415?

Greatest common factor (GCF) of 28397 and 28415 is 1.

GCF(28397,28415) = 1

We will now calculate the prime factors of 28397 and 28415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28397 and 28415.

How to find the GCF of 28397 and 28415?

We will first find the prime factorization of 28397 and 28415. After we will calculate the factors of 28397 and 28415 and find the biggest common factor number .

Step-1: Prime Factorization of 28397

Prime factors of 28397 are 73, 389. Prime factorization of 28397 in exponential form is:

28397 = 73¹ × 389¹

Step-2: Prime Factorization of 28415

Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:

28415 = 5¹ × 5683¹

Step-3: Factors of 28397

List of positive integer factors of 28397 that divides 28397 without a remainder.

1, 73, 389

Step-4: Factors of 28415

List of positive integer factors of 28415 that divides 28397 without a remainder.

1, 5, 5683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28397 and 28415. The biggest common factor number is the GCF number.
So the greatest common factor 28397 and 28415 is 1.

Also check out the Least Common Multiple of 28397 and 28415