What is the Greatest Common Factor of 20801 and 20812?

Greatest common factor (GCF) of 20801 and 20812 is 11.

GCF(20801,20812) = 11

We will now calculate the prime factors of 20801 and 20812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20801 and 20812.

How to find the GCF of 20801 and 20812?

We will first find the prime factorization of 20801 and 20812. After we will calculate the factors of 20801 and 20812 and find the biggest common factor number .

Step-1: Prime Factorization of 20801

Prime factors of 20801 are 11, 31, 61. Prime factorization of 20801 in exponential form is:

20801 = 11¹ × 31¹ × 61¹

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 20801

List of positive integer factors of 20801 that divides 20801 without a remainder.

1, 11, 31, 61, 341, 671, 1891

Step-4: Factors of 20812

List of positive integer factors of 20812 that divides 20801 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 20801 and 20812. The biggest common factor number is the GCF number.
So the greatest common factor 20801 and 20812 is 11.

Also check out the Least Common Multiple of 20801 and 20812