What is the Greatest Common Factor of 19002 and 19009?

Greatest common factor (GCF) of 19002 and 19009 is 1.

GCF(19002,19009) = 1

We will now calculate the prime factors of 19002 and 19009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19002 and 19009.

How to find the GCF of 19002 and 19009?

We will first find the prime factorization of 19002 and 19009. After we will calculate the factors of 19002 and 19009 and find the biggest common factor number .

Step-1: Prime Factorization of 19002

Prime factors of 19002 are 2, 3, 3167. Prime factorization of 19002 in exponential form is:

19002 = 2¹ × 3¹ × 3167¹

Step-2: Prime Factorization of 19009

Prime factors of 19009 are 19009. Prime factorization of 19009 in exponential form is:

19009 = 19009¹

Step-3: Factors of 19002

List of positive integer factors of 19002 that divides 19002 without a remainder.

1, 2, 3, 6, 3167, 6334, 9501

Step-4: Factors of 19009

List of positive integer factors of 19009 that divides 19002 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19002 and 19009. The biggest common factor number is the GCF number.
So the greatest common factor 19002 and 19009 is 1.

Also check out the Least Common Multiple of 19002 and 19009