What is the Greatest Common Factor of 84006 and 84026?

Greatest common factor (GCF) of 84006 and 84026 is 2.

GCF(84006,84026) = 2

We will now calculate the prime factors of 84006 and 84026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84006 and 84026.

How to find the GCF of 84006 and 84026?

We will first find the prime factorization of 84006 and 84026. After we will calculate the factors of 84006 and 84026 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 84026

Prime factors of 84026 are 2, 42013. Prime factorization of 84026 in exponential form is:

84026 = 2¹ × 42013¹

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 84026

List of positive integer factors of 84026 that divides 84006 without a remainder.

1, 2, 42013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84006 and 84026. The biggest common factor number is the GCF number.
So the greatest common factor 84006 and 84026 is 2.

Also check out the Least Common Multiple of 84006 and 84026