What is the Greatest Common Factor of 20900 and 20909?

Greatest common factor (GCF) of 20900 and 20909 is 1.

GCF(20900,20909) = 1

We will now calculate the prime factors of 20900 and 20909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20900 and 20909.

How to find the GCF of 20900 and 20909?

We will first find the prime factorization of 20900 and 20909. After we will calculate the factors of 20900 and 20909 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 20909

Prime factors of 20909 are 7, 29, 103. Prime factorization of 20909 in exponential form is:

20909 = 7¹ × 29¹ × 103¹

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 20909

List of positive integer factors of 20909 that divides 20900 without a remainder.

1, 7, 29, 103, 203, 721, 2987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20900 and 20909. The biggest common factor number is the GCF number.
So the greatest common factor 20900 and 20909 is 1.

Also check out the Least Common Multiple of 20900 and 20909