What is the Greatest Common Factor of 4815 and 4835?

Greatest common factor (GCF) of 4815 and 4835 is 5.

GCF(4815,4835) = 5

We will now calculate the prime factors of 4815 and 4835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4815 and 4835.

How to find the GCF of 4815 and 4835?

We will first find the prime factorization of 4815 and 4835. After we will calculate the factors of 4815 and 4835 and find the biggest common factor number .

Step-1: Prime Factorization of 4815

Prime factors of 4815 are 3, 5, 107. Prime factorization of 4815 in exponential form is:

4815 = 3² × 5¹ × 107¹

Step-2: Prime Factorization of 4835

Prime factors of 4835 are 5, 967. Prime factorization of 4835 in exponential form is:

4835 = 5¹ × 967¹

Step-3: Factors of 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605

Step-4: Factors of 4835

List of positive integer factors of 4835 that divides 4815 without a remainder.

1, 5, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4815 and 4835. The biggest common factor number is the GCF number.
So the greatest common factor 4815 and 4835 is 5.

Also check out the Least Common Multiple of 4815 and 4835