What is the Greatest Common Factor of 20886 and 20900?

Greatest common factor (GCF) of 20886 and 20900 is 2.

GCF(20886,20900) = 2

We will now calculate the prime factors of 20886 and 20900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20886 and 20900.

How to find the GCF of 20886 and 20900?

We will first find the prime factorization of 20886 and 20900. After we will calculate the factors of 20886 and 20900 and find the biggest common factor number .

Step-1: Prime Factorization of 20886

Prime factors of 20886 are 2, 3, 59. Prime factorization of 20886 in exponential form is:

20886 = 2¹ × 3¹ × 59²

Step-2: 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-3: Factors of 20886

List of positive integer factors of 20886 that divides 20886 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354, 3481, 6962, 10443

Step-4: Factors of 20900

List of positive integer factors of 20900 that divides 20886 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20886 and 20900. The biggest common factor number is the GCF number.
So the greatest common factor 20886 and 20900 is 2.

Also check out the Least Common Multiple of 20886 and 20900