What is the Greatest Common Factor of 19932 and 19943?

Greatest common factor (GCF) of 19932 and 19943 is 11.

GCF(19932,19943) = 11

We will now calculate the prime factors of 19932 and 19943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19932 and 19943.

How to find the GCF of 19932 and 19943?

We will first find the prime factorization of 19932 and 19943. After we will calculate the factors of 19932 and 19943 and find the biggest common factor number .

Step-1: Prime Factorization of 19932

Prime factors of 19932 are 2, 3, 11, 151. Prime factorization of 19932 in exponential form is:

19932 = 2² × 3¹ × 11¹ × 151¹

Step-2: Prime Factorization of 19943

Prime factors of 19943 are 7, 11, 37. Prime factorization of 19943 in exponential form is:

19943 = 7² × 11¹ × 37¹

Step-3: Factors of 19932

List of positive integer factors of 19932 that divides 19932 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 151, 302, 453, 604, 906, 1661, 1812, 3322, 4983, 6644, 9966

Step-4: Factors of 19943

List of positive integer factors of 19943 that divides 19932 without a remainder.

1, 7, 11, 37, 49, 77, 259, 407, 539, 1813, 2849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19932 and 19943. The biggest common factor number is the GCF number.
So the greatest common factor 19932 and 19943 is 11.

Also check out the Least Common Multiple of 19932 and 19943