What is the Greatest Common Factor of 79821 and 79836?

Greatest common factor (GCF) of 79821 and 79836 is 3.

GCF(79821,79836) = 3

We will now calculate the prime factors of 79821 and 79836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79821 and 79836.

How to find the GCF of 79821 and 79836?

We will first find the prime factorization of 79821 and 79836. After we will calculate the factors of 79821 and 79836 and find the biggest common factor number .

Step-1: Prime Factorization of 79821

Prime factors of 79821 are 3, 7, 181. Prime factorization of 79821 in exponential form is:

79821 = 3² × 7² × 181¹

Step-2: Prime Factorization of 79836

Prime factors of 79836 are 2, 3, 6653. Prime factorization of 79836 in exponential form is:

79836 = 2² × 3¹ × 6653¹

Step-3: Factors of 79821

List of positive integer factors of 79821 that divides 79821 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 181, 441, 543, 1267, 1629, 3801, 8869, 11403, 26607

Step-4: Factors of 79836

List of positive integer factors of 79836 that divides 79821 without a remainder.

1, 2, 3, 4, 6, 12, 6653, 13306, 19959, 26612, 39918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79821 and 79836. The biggest common factor number is the GCF number.
So the greatest common factor 79821 and 79836 is 3.

Also check out the Least Common Multiple of 79821 and 79836