What is the Greatest Common Factor of 4805 and 4821?

Greatest common factor (GCF) of 4805 and 4821 is 1.

GCF(4805,4821) = 1

We will now calculate the prime factors of 4805 and 4821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4805 and 4821.

How to find the GCF of 4805 and 4821?

We will first find the prime factorization of 4805 and 4821. After we will calculate the factors of 4805 and 4821 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 4821

Prime factors of 4821 are 3, 1607. Prime factorization of 4821 in exponential form is:

4821 = 3¹ × 1607¹

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 4821

List of positive integer factors of 4821 that divides 4805 without a remainder.

1, 3, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4805 and 4821. The biggest common factor number is the GCF number.
So the greatest common factor 4805 and 4821 is 1.

Also check out the Least Common Multiple of 4805 and 4821