What is the Greatest Common Factor of 72069 and 72078?

Greatest common factor (GCF) of 72069 and 72078 is 3.

GCF(72069,72078) = 3

We will now calculate the prime factors of 72069 and 72078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72069 and 72078.

How to find the GCF of 72069 and 72078?

We will first find the prime factorization of 72069 and 72078. After we will calculate the factors of 72069 and 72078 and find the biggest common factor number .

Step-1: Prime Factorization of 72069

Prime factors of 72069 are 3, 24023. Prime factorization of 72069 in exponential form is:

72069 = 3¹ × 24023¹

Step-2: Prime Factorization of 72078

Prime factors of 72078 are 2, 3, 41, 293. Prime factorization of 72078 in exponential form is:

72078 = 2¹ × 3¹ × 41¹ × 293¹

Step-3: Factors of 72069

List of positive integer factors of 72069 that divides 72069 without a remainder.

1, 3, 24023

Step-4: Factors of 72078

List of positive integer factors of 72078 that divides 72069 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 293, 586, 879, 1758, 12013, 24026, 36039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72069 and 72078. The biggest common factor number is the GCF number.
So the greatest common factor 72069 and 72078 is 3.

Also check out the Least Common Multiple of 72069 and 72078