What is the Greatest Common Factor of 19981 and 19994?

Greatest common factor (GCF) of 19981 and 19994 is 13.

GCF(19981,19994) = 13

We will now calculate the prime factors of 19981 and 19994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19981 and 19994.

How to find the GCF of 19981 and 19994?

We will first find the prime factorization of 19981 and 19994. After we will calculate the factors of 19981 and 19994 and find the biggest common factor number .

Step-1: Prime Factorization of 19981

Prime factors of 19981 are 13, 29, 53. Prime factorization of 19981 in exponential form is:

19981 = 13¹ × 29¹ × 53¹

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 19981

List of positive integer factors of 19981 that divides 19981 without a remainder.

1, 13, 29, 53, 377, 689, 1537

Step-4: Factors of 19994

List of positive integer factors of 19994 that divides 19981 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19981 and 19994. The biggest common factor number is the GCF number.
So the greatest common factor 19981 and 19994 is 13.

Also check out the Least Common Multiple of 19981 and 19994