What is the Greatest Common Factor of 79809 and 79827?

Greatest common factor (GCF) of 79809 and 79827 is 3.

GCF(79809,79827) = 3

We will now calculate the prime factors of 79809 and 79827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79809 and 79827.

How to find the GCF of 79809 and 79827?

We will first find the prime factorization of 79809 and 79827. After we will calculate the factors of 79809 and 79827 and find the biggest common factor number .

Step-1: Prime Factorization of 79809

Prime factors of 79809 are 3, 37, 719. Prime factorization of 79809 in exponential form is:

79809 = 3¹ × 37¹ × 719¹

Step-2: Prime Factorization of 79827

Prime factors of 79827 are 3, 11, 41, 59. Prime factorization of 79827 in exponential form is:

79827 = 3¹ × 11¹ × 41¹ × 59¹

Step-3: Factors of 79809

List of positive integer factors of 79809 that divides 79809 without a remainder.

1, 3, 37, 111, 719, 2157, 26603

Step-4: Factors of 79827

List of positive integer factors of 79827 that divides 79809 without a remainder.

1, 3, 11, 33, 41, 59, 123, 177, 451, 649, 1353, 1947, 2419, 7257, 26609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79809 and 79827. The biggest common factor number is the GCF number.
So the greatest common factor 79809 and 79827 is 3.

Also check out the Least Common Multiple of 79809 and 79827