What is the Greatest Common Factor of 73806 and 73821?

Greatest common factor (GCF) of 73806 and 73821 is 3.

GCF(73806,73821) = 3

We will now calculate the prime factors of 73806 and 73821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73806 and 73821.

How to find the GCF of 73806 and 73821?

We will first find the prime factorization of 73806 and 73821. After we will calculate the factors of 73806 and 73821 and find the biggest common factor number .

Step-1: Prime Factorization of 73806

Prime factors of 73806 are 2, 3, 12301. Prime factorization of 73806 in exponential form is:

73806 = 2¹ × 3¹ × 12301¹

Step-2: Prime Factorization of 73821

Prime factors of 73821 are 3, 11, 2237. Prime factorization of 73821 in exponential form is:

73821 = 3¹ × 11¹ × 2237¹

Step-3: Factors of 73806

List of positive integer factors of 73806 that divides 73806 without a remainder.

1, 2, 3, 6, 12301, 24602, 36903

Step-4: Factors of 73821

List of positive integer factors of 73821 that divides 73806 without a remainder.

1, 3, 11, 33, 2237, 6711, 24607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73806 and 73821. The biggest common factor number is the GCF number.
So the greatest common factor 73806 and 73821 is 3.

Also check out the Least Common Multiple of 73806 and 73821