What is the Greatest Common Factor of 4851 and 4861?

Greatest common factor (GCF) of 4851 and 4861 is 1.

GCF(4851,4861) = 1

We will now calculate the prime factors of 4851 and 4861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4851 and 4861.

How to find the GCF of 4851 and 4861?

We will first find the prime factorization of 4851 and 4861. After we will calculate the factors of 4851 and 4861 and find the biggest common factor number .

Step-1: Prime Factorization of 4851

Prime factors of 4851 are 3, 7, 11. Prime factorization of 4851 in exponential form is:

4851 = 3² × 7² × 11¹

Step-2: Prime Factorization of 4861

Prime factors of 4861 are 4861. Prime factorization of 4861 in exponential form is:

4861 = 4861¹

Step-3: Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617

Step-4: Factors of 4861

List of positive integer factors of 4861 that divides 4851 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4851 and 4861. The biggest common factor number is the GCF number.
So the greatest common factor 4851 and 4861 is 1.

Also check out the Least Common Multiple of 4851 and 4861