What is the Greatest Common Factor of 20804 and 20812?

Greatest common factor (GCF) of 20804 and 20812 is 4.

GCF(20804,20812) = 4

We will now calculate the prime factors of 20804 and 20812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20804 and 20812.

How to find the GCF of 20804 and 20812?

We will first find the prime factorization of 20804 and 20812. After we will calculate the factors of 20804 and 20812 and find the biggest common factor number .

Step-1: Prime Factorization of 20804

Prime factors of 20804 are 2, 7, 743. Prime factorization of 20804 in exponential form is:

20804 = 2² × 7¹ × 743¹

Step-2: Prime Factorization of 20812

Prime factors of 20812 are 2, 11, 43. Prime factorization of 20812 in exponential form is:

20812 = 2² × 11² × 43¹

Step-3: Factors of 20804

List of positive integer factors of 20804 that divides 20804 without a remainder.

1, 2, 4, 7, 14, 28, 743, 1486, 2972, 5201, 10402

Step-4: Factors of 20812

List of positive integer factors of 20812 that divides 20804 without a remainder.

1, 2, 4, 11, 22, 43, 44, 86, 121, 172, 242, 473, 484, 946, 1892, 5203, 10406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20804 and 20812. The biggest common factor number is the GCF number.
So the greatest common factor 20804 and 20812 is 4.

Also check out the Least Common Multiple of 20804 and 20812