What is the Greatest Common Factor of 812 and 820?

Greatest common factor (GCF) of 812 and 820 is 4.

GCF(812,820) = 4

We will now calculate the prime factors of 812 and 820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 812 and 820.

How to find the GCF of 812 and 820?

We will first find the prime factorization of 812 and 820. After we will calculate the factors of 812 and 820 and find the biggest common factor number .

Step-1: Prime Factorization of 812

Prime factors of 812 are 2, 7, 29. Prime factorization of 812 in exponential form is:

812 = 2² × 7¹ × 29¹

Step-2: Prime Factorization of 820

Prime factors of 820 are 2, 5, 41. Prime factorization of 820 in exponential form is:

820 = 2² × 5¹ × 41¹

Step-3: Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406

Step-4: Factors of 820

List of positive integer factors of 820 that divides 812 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 812 and 820. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 820 is 4.

Also check out the Least Common Multiple of 812 and 820