What is the Greatest Common Factor of 84006 and 84019?

Greatest common factor (GCF) of 84006 and 84019 is 13.

GCF(84006,84019) = 13

We will now calculate the prime factors of 84006 and 84019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84006 and 84019.

How to find the GCF of 84006 and 84019?

We will first find the prime factorization of 84006 and 84019. After we will calculate the factors of 84006 and 84019 and find the biggest common factor number .

Step-1: Prime Factorization of 84006

Prime factors of 84006 are 2, 3, 13, 359. Prime factorization of 84006 in exponential form is:

84006 = 2¹ × 3² × 13¹ × 359¹

Step-2: Prime Factorization of 84019

Prime factors of 84019 are 13, 23, 281. Prime factorization of 84019 in exponential form is:

84019 = 13¹ × 23¹ × 281¹

Step-3: Factors of 84006

List of positive integer factors of 84006 that divides 84006 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 359, 718, 1077, 2154, 3231, 4667, 6462, 9334, 14001, 28002, 42003

Step-4: Factors of 84019

List of positive integer factors of 84019 that divides 84006 without a remainder.

1, 13, 23, 281, 299, 3653, 6463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84006 and 84019. The biggest common factor number is the GCF number.
So the greatest common factor 84006 and 84019 is 13.

Also check out the Least Common Multiple of 84006 and 84019