What is the Greatest Common Factor of 18996 and 19005?

Greatest common factor (GCF) of 18996 and 19005 is 3.

GCF(18996,19005) = 3

We will now calculate the prime factors of 18996 and 19005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18996 and 19005.

How to find the GCF of 18996 and 19005?

We will first find the prime factorization of 18996 and 19005. After we will calculate the factors of 18996 and 19005 and find the biggest common factor number .

Step-1: Prime Factorization of 18996

Prime factors of 18996 are 2, 3, 1583. Prime factorization of 18996 in exponential form is:

18996 = 2² × 3¹ × 1583¹

Step-2: Prime Factorization of 19005

Prime factors of 19005 are 3, 5, 7, 181. Prime factorization of 19005 in exponential form is:

19005 = 3¹ × 5¹ × 7¹ × 181¹

Step-3: Factors of 18996

List of positive integer factors of 18996 that divides 18996 without a remainder.

1, 2, 3, 4, 6, 12, 1583, 3166, 4749, 6332, 9498

Step-4: Factors of 19005

List of positive integer factors of 19005 that divides 18996 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 181, 543, 905, 1267, 2715, 3801, 6335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18996 and 19005. The biggest common factor number is the GCF number.
So the greatest common factor 18996 and 19005 is 3.

Also check out the Least Common Multiple of 18996 and 19005