What is the Greatest Common Factor of 79851 and 79869?

Greatest common factor (GCF) of 79851 and 79869 is 3.

GCF(79851,79869) = 3

We will now calculate the prime factors of 79851 and 79869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79851 and 79869.

How to find the GCF of 79851 and 79869?

We will first find the prime factorization of 79851 and 79869. After we will calculate the factors of 79851 and 79869 and find the biggest common factor number .

Step-1: Prime Factorization of 79851

Prime factors of 79851 are 3, 43, 619. Prime factorization of 79851 in exponential form is:

79851 = 3¹ × 43¹ × 619¹

Step-2: Prime Factorization of 79869

Prime factors of 79869 are 3, 79, 337. Prime factorization of 79869 in exponential form is:

79869 = 3¹ × 79¹ × 337¹

Step-3: Factors of 79851

List of positive integer factors of 79851 that divides 79851 without a remainder.

1, 3, 43, 129, 619, 1857, 26617

Step-4: Factors of 79869

List of positive integer factors of 79869 that divides 79851 without a remainder.

1, 3, 79, 237, 337, 1011, 26623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79851 and 79869. The biggest common factor number is the GCF number.
So the greatest common factor 79851 and 79869 is 3.

Also check out the Least Common Multiple of 79851 and 79869