What is the Greatest Common Factor of 79806 and 79821?

Greatest common factor (GCF) of 79806 and 79821 is 3.

GCF(79806,79821) = 3

We will now calculate the prime factors of 79806 and 79821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79806 and 79821.

How to find the GCF of 79806 and 79821?

We will first find the prime factorization of 79806 and 79821. After we will calculate the factors of 79806 and 79821 and find the biggest common factor number .

Step-1: Prime Factorization of 79806

Prime factors of 79806 are 2, 3, 47, 283. Prime factorization of 79806 in exponential form is:

79806 = 2¹ × 3¹ × 47¹ × 283¹

Step-2: 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-3: Factors of 79806

List of positive integer factors of 79806 that divides 79806 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 283, 566, 849, 1698, 13301, 26602, 39903

Step-4: Factors of 79821

List of positive integer factors of 79821 that divides 79806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79806 and 79821. The biggest common factor number is the GCF number.
So the greatest common factor 79806 and 79821 is 3.

Also check out the Least Common Multiple of 79806 and 79821