What is the Greatest Common Factor of 19844 and 19850?

Greatest common factor (GCF) of 19844 and 19850 is 2.

GCF(19844,19850) = 2

We will now calculate the prime factors of 19844 and 19850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19844 and 19850.

How to find the GCF of 19844 and 19850?

We will first find the prime factorization of 19844 and 19850. After we will calculate the factors of 19844 and 19850 and find the biggest common factor number .

Step-1: Prime Factorization of 19844

Prime factors of 19844 are 2, 11, 41. Prime factorization of 19844 in exponential form is:

19844 = 2² × 11² × 41¹

Step-2: Prime Factorization of 19850

Prime factors of 19850 are 2, 5, 397. Prime factorization of 19850 in exponential form is:

19850 = 2¹ × 5² × 397¹

Step-3: Factors of 19844

List of positive integer factors of 19844 that divides 19844 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 121, 164, 242, 451, 484, 902, 1804, 4961, 9922

Step-4: Factors of 19850

List of positive integer factors of 19850 that divides 19844 without a remainder.

1, 2, 5, 10, 25, 50, 397, 794, 1985, 3970, 9925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19844 and 19850. The biggest common factor number is the GCF number.
So the greatest common factor 19844 and 19850 is 2.

Also check out the Least Common Multiple of 19844 and 19850