What is the Greatest Common Factor of 20900 and 20912?

Greatest common factor (GCF) of 20900 and 20912 is 4.

GCF(20900,20912) = 4

We will now calculate the prime factors of 20900 and 20912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20900 and 20912.

How to find the GCF of 20900 and 20912?

We will first find the prime factorization of 20900 and 20912. After we will calculate the factors of 20900 and 20912 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 20912

Prime factors of 20912 are 2, 1307. Prime factorization of 20912 in exponential form is:

20912 = 2⁴ × 1307¹

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 20912

List of positive integer factors of 20912 that divides 20900 without a remainder.

1, 2, 4, 8, 16, 1307, 2614, 5228, 10456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20900 and 20912. The biggest common factor number is the GCF number.
So the greatest common factor 20900 and 20912 is 4.

Also check out the Least Common Multiple of 20900 and 20912