What is the Greatest Common Factor of 7851 and 7869?

Greatest common factor (GCF) of 7851 and 7869 is 3.

GCF(7851,7869) = 3

We will now calculate the prime factors of 7851 and 7869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7851 and 7869.

How to find the GCF of 7851 and 7869?

We will first find the prime factorization of 7851 and 7869. After we will calculate the factors of 7851 and 7869 and find the biggest common factor number .

Step-1: Prime Factorization of 7851

Prime factors of 7851 are 3, 2617. Prime factorization of 7851 in exponential form is:

7851 = 3¹ × 2617¹

Step-2: Prime Factorization of 7869

Prime factors of 7869 are 3, 43, 61. Prime factorization of 7869 in exponential form is:

7869 = 3¹ × 43¹ × 61¹

Step-3: Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1, 3, 2617

Step-4: Factors of 7869

List of positive integer factors of 7869 that divides 7851 without a remainder.

1, 3, 43, 61, 129, 183, 2623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7851 and 7869. The biggest common factor number is the GCF number.
So the greatest common factor 7851 and 7869 is 3.

Also check out the Least Common Multiple of 7851 and 7869