What is the Greatest Common Factor of 19990 and 19994?

Greatest common factor (GCF) of 19990 and 19994 is 2.

GCF(19990,19994) = 2

We will now calculate the prime factors of 19990 and 19994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19990 and 19994.

How to find the GCF of 19990 and 19994?

We will first find the prime factorization of 19990 and 19994. After we will calculate the factors of 19990 and 19994 and find the biggest common factor number .

Step-1: Prime Factorization of 19990

Prime factors of 19990 are 2, 5, 1999. Prime factorization of 19990 in exponential form is:

19990 = 2¹ × 5¹ × 1999¹

Step-2: Prime Factorization of 19994

Prime factors of 19994 are 2, 13, 769. Prime factorization of 19994 in exponential form is:

19994 = 2¹ × 13¹ × 769¹

Step-3: Factors of 19990

List of positive integer factors of 19990 that divides 19990 without a remainder.

1, 2, 5, 10, 1999, 3998, 9995

Step-4: Factors of 19994

List of positive integer factors of 19994 that divides 19990 without a remainder.

1, 2, 13, 26, 769, 1538, 9997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19990 and 19994. The biggest common factor number is the GCF number.
So the greatest common factor 19990 and 19994 is 2.

Also check out the Least Common Multiple of 19990 and 19994