What is the Greatest Common Factor of 36812 and 36830?

Greatest common factor (GCF) of 36812 and 36830 is 2.

GCF(36812,36830) = 2

We will now calculate the prime factors of 36812 and 36830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36812 and 36830.

How to find the GCF of 36812 and 36830?

We will first find the prime factorization of 36812 and 36830. After we will calculate the factors of 36812 and 36830 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 36830

Prime factors of 36830 are 2, 5, 29, 127. Prime factorization of 36830 in exponential form is:

36830 = 2¹ × 5¹ × 29¹ × 127¹

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 36830

List of positive integer factors of 36830 that divides 36812 without a remainder.

1, 2, 5, 10, 29, 58, 127, 145, 254, 290, 635, 1270, 3683, 7366, 18415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36812 and 36830. The biggest common factor number is the GCF number.
So the greatest common factor 36812 and 36830 is 2.

Also check out the Least Common Multiple of 36812 and 36830