What is the Greatest Common Factor of 36812 and 36821?

Greatest common factor (GCF) of 36812 and 36821 is 1.

GCF(36812,36821) = 1

We will now calculate the prime factors of 36812 and 36821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36812 and 36821.

How to find the GCF of 36812 and 36821?

We will first find the prime factorization of 36812 and 36821. After we will calculate the factors of 36812 and 36821 and find the biggest common factor number .

Step-1: Prime Factorization of 36812

Prime factors of 36812 are 2, 9203. Prime factorization of 36812 in exponential form is:

36812 = 2² × 9203¹

Step-2: Prime Factorization of 36821

Prime factors of 36821 are 36821. Prime factorization of 36821 in exponential form is:

36821 = 36821¹

Step-3: Factors of 36812

List of positive integer factors of 36812 that divides 36812 without a remainder.

1, 2, 4, 9203, 18406

Step-4: Factors of 36821

List of positive integer factors of 36821 that divides 36812 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36812 and 36821. The biggest common factor number is the GCF number.
So the greatest common factor 36812 and 36821 is 1.

Also check out the Least Common Multiple of 36812 and 36821