What is the Greatest Common Factor of 28006 and 28019?

Greatest common factor (GCF) of 28006 and 28019 is 1.

GCF(28006,28019) = 1

We will now calculate the prime factors of 28006 and 28019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28006 and 28019.

How to find the GCF of 28006 and 28019?

We will first find the prime factorization of 28006 and 28019. After we will calculate the factors of 28006 and 28019 and find the biggest common factor number .

Step-1: Prime Factorization of 28006

Prime factors of 28006 are 2, 11, 19, 67. Prime factorization of 28006 in exponential form is:

28006 = 2¹ × 11¹ × 19¹ × 67¹

Step-2: Prime Factorization of 28019

Prime factors of 28019 are 28019. Prime factorization of 28019 in exponential form is:

28019 = 28019¹

Step-3: Factors of 28006

List of positive integer factors of 28006 that divides 28006 without a remainder.

1, 2, 11, 19, 22, 38, 67, 134, 209, 418, 737, 1273, 1474, 2546, 14003

Step-4: Factors of 28019

List of positive integer factors of 28019 that divides 28006 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28006 and 28019. The biggest common factor number is the GCF number.
So the greatest common factor 28006 and 28019 is 1.

Also check out the Least Common Multiple of 28006 and 28019