What is the Greatest Common Factor of 28815 and 28835?

Greatest common factor (GCF) of 28815 and 28835 is 5.

GCF(28815,28835) = 5

We will now calculate the prime factors of 28815 and 28835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28815 and 28835.

How to find the GCF of 28815 and 28835?

We will first find the prime factorization of 28815 and 28835. After we will calculate the factors of 28815 and 28835 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 28835

Prime factors of 28835 are 5, 73, 79. Prime factorization of 28835 in exponential form is:

28835 = 5¹ × 73¹ × 79¹

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 28835

List of positive integer factors of 28835 that divides 28815 without a remainder.

1, 5, 73, 79, 365, 395, 5767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28815 and 28835. The biggest common factor number is the GCF number.
So the greatest common factor 28815 and 28835 is 5.

Also check out the Least Common Multiple of 28815 and 28835