What is the Greatest Common Factor of 20900 and 20917?

Greatest common factor (GCF) of 20900 and 20917 is 1.

GCF(20900,20917) = 1

We will now calculate the prime factors of 20900 and 20917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20900 and 20917.

How to find the GCF of 20900 and 20917?

We will first find the prime factorization of 20900 and 20917. After we will calculate the factors of 20900 and 20917 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 20917

Prime factors of 20917 are 13, 1609. Prime factorization of 20917 in exponential form is:

20917 = 13¹ × 1609¹

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 20917

List of positive integer factors of 20917 that divides 20900 without a remainder.

1, 13, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20900 and 20917. The biggest common factor number is the GCF number.
So the greatest common factor 20900 and 20917 is 1.

Also check out the Least Common Multiple of 20900 and 20917