What is the Greatest Common Factor of 4805 and 4815?

Greatest common factor (GCF) of 4805 and 4815 is 5.

GCF(4805,4815) = 5

We will now calculate the prime factors of 4805 and 4815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4805 and 4815.

How to find the GCF of 4805 and 4815?

We will first find the prime factorization of 4805 and 4815. After we will calculate the factors of 4805 and 4815 and find the biggest common factor number .

Step-1: Prime Factorization of 4805

Prime factors of 4805 are 5, 31. Prime factorization of 4805 in exponential form is:

4805 = 5¹ × 31²

Step-2: 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-3: Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1, 5, 31, 155, 961

Step-4: Factors of 4815

List of positive integer factors of 4815 that divides 4805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4805 and 4815. The biggest common factor number is the GCF number.
So the greatest common factor 4805 and 4815 is 5.

Also check out the Least Common Multiple of 4805 and 4815