What is the Greatest Common Factor of 20900 and 20911?

Greatest common factor (GCF) of 20900 and 20911 is 11.

GCF(20900,20911) = 11

We will now calculate the prime factors of 20900 and 20911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20900 and 20911.

How to find the GCF of 20900 and 20911?

We will first find the prime factorization of 20900 and 20911. After we will calculate the factors of 20900 and 20911 and find the biggest common factor number .

Step-1: Prime Factorization of 20900

Prime factors of 20900 are 2, 5, 11, 19. Prime factorization of 20900 in exponential form is:

20900 = 2² × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 20911

Prime factors of 20911 are 11, 1901. Prime factorization of 20911 in exponential form is:

20911 = 11¹ × 1901¹

Step-3: Factors of 20900

List of positive integer factors of 20900 that divides 20900 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 25, 38, 44, 50, 55, 76, 95, 100, 110, 190, 209, 220, 275, 380, 418, 475, 550, 836, 950, 1045, 1100, 1900, 2090, 4180, 5225, 10450

Step-4: Factors of 20911

List of positive integer factors of 20911 that divides 20900 without a remainder.

1, 11, 1901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20900 and 20911. The biggest common factor number is the GCF number.
So the greatest common factor 20900 and 20911 is 11.

Also check out the Least Common Multiple of 20900 and 20911