What is the Greatest Common Factor of 79791 and 79797?

Greatest common factor (GCF) of 79791 and 79797 is 3.

GCF(79791,79797) = 3

We will now calculate the prime factors of 79791 and 79797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79791 and 79797.

How to find the GCF of 79791 and 79797?

We will first find the prime factorization of 79791 and 79797. After we will calculate the factors of 79791 and 79797 and find the biggest common factor number .

Step-1: Prime Factorization of 79791

Prime factors of 79791 are 3, 26597. Prime factorization of 79791 in exponential form is:

79791 = 3¹ × 26597¹

Step-2: Prime Factorization of 79797

Prime factors of 79797 are 3, 67, 397. Prime factorization of 79797 in exponential form is:

79797 = 3¹ × 67¹ × 397¹

Step-3: Factors of 79791

List of positive integer factors of 79791 that divides 79791 without a remainder.

1, 3, 26597

Step-4: Factors of 79797

List of positive integer factors of 79797 that divides 79791 without a remainder.

1, 3, 67, 201, 397, 1191, 26599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79791 and 79797. The biggest common factor number is the GCF number.
So the greatest common factor 79791 and 79797 is 3.

Also check out the Least Common Multiple of 79791 and 79797