What is the Greatest Common Factor of 84006 and 84013?

Greatest common factor (GCF) of 84006 and 84013 is 1.

GCF(84006,84013) = 1

We will now calculate the prime factors of 84006 and 84013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84006 and 84013.

How to find the GCF of 84006 and 84013?

We will first find the prime factorization of 84006 and 84013. After we will calculate the factors of 84006 and 84013 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 84013

Prime factors of 84013 are 29, 2897. Prime factorization of 84013 in exponential form is:

84013 = 29¹ × 2897¹

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 84013

List of positive integer factors of 84013 that divides 84006 without a remainder.

1, 29, 2897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84006 and 84013. The biggest common factor number is the GCF number.
So the greatest common factor 84006 and 84013 is 1.

Also check out the Least Common Multiple of 84006 and 84013