What is the Greatest Common Factor of 28919 and 28927?

Greatest common factor (GCF) of 28919 and 28927 is 1.

GCF(28919,28927) = 1

We will now calculate the prime factors of 28919 and 28927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28919 and 28927.

How to find the GCF of 28919 and 28927?

We will first find the prime factorization of 28919 and 28927. After we will calculate the factors of 28919 and 28927 and find the biggest common factor number .

Step-1: Prime Factorization of 28919

Prime factors of 28919 are 11, 239. Prime factorization of 28919 in exponential form is:

28919 = 11² × 239¹

Step-2: Prime Factorization of 28927

Prime factors of 28927 are 28927. Prime factorization of 28927 in exponential form is:

28927 = 28927¹

Step-3: Factors of 28919

List of positive integer factors of 28919 that divides 28919 without a remainder.

1, 11, 121, 239, 2629

Step-4: Factors of 28927

List of positive integer factors of 28927 that divides 28919 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28919 and 28927. The biggest common factor number is the GCF number.
So the greatest common factor 28919 and 28927 is 1.

Also check out the Least Common Multiple of 28919 and 28927