What is the Greatest Common Factor of 28815 and 28829?

Greatest common factor (GCF) of 28815 and 28829 is 1.

GCF(28815,28829) = 1

We will now calculate the prime factors of 28815 and 28829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28815 and 28829.

How to find the GCF of 28815 and 28829?

We will first find the prime factorization of 28815 and 28829. After we will calculate the factors of 28815 and 28829 and find the biggest common factor number .

Step-1: Prime Factorization of 28815

Prime factors of 28815 are 3, 5, 17, 113. Prime factorization of 28815 in exponential form is:

28815 = 3¹ × 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 28829

Prime factors of 28829 are 127, 227. Prime factorization of 28829 in exponential form is:

28829 = 127¹ × 227¹

Step-3: Factors of 28815

List of positive integer factors of 28815 that divides 28815 without a remainder.

1, 3, 5, 15, 17, 51, 85, 113, 255, 339, 565, 1695, 1921, 5763, 9605

Step-4: Factors of 28829

List of positive integer factors of 28829 that divides 28815 without a remainder.

1, 127, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28815 and 28829. The biggest common factor number is the GCF number.
So the greatest common factor 28815 and 28829 is 1.

Also check out the Least Common Multiple of 28815 and 28829