What is the Greatest Common Factor of 28805 and 28815?

Greatest common factor (GCF) of 28805 and 28815 is 5.

GCF(28805,28815) = 5

We will now calculate the prime factors of 28805 and 28815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28805 and 28815.

How to find the GCF of 28805 and 28815?

We will first find the prime factorization of 28805 and 28815. After we will calculate the factors of 28805 and 28815 and find the biggest common factor number .

Step-1: Prime Factorization of 28805

Prime factors of 28805 are 5, 7, 823. Prime factorization of 28805 in exponential form is:

28805 = 5¹ × 7¹ × 823¹

Step-2: 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-3: Factors of 28805

List of positive integer factors of 28805 that divides 28805 without a remainder.

1, 5, 7, 35, 823, 4115, 5761

Step-4: Factors of 28815

List of positive integer factors of 28815 that divides 28805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28805 and 28815. The biggest common factor number is the GCF number.
So the greatest common factor 28805 and 28815 is 5.

Also check out the Least Common Multiple of 28805 and 28815