What is the Greatest Common Factor of 78009 and 78016?

Greatest common factor (GCF) of 78009 and 78016 is 1.

GCF(78009,78016) = 1

We will now calculate the prime factors of 78009 and 78016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78009 and 78016.

How to find the GCF of 78009 and 78016?

We will first find the prime factorization of 78009 and 78016. After we will calculate the factors of 78009 and 78016 and find the biggest common factor number .

Step-1: Prime Factorization of 78009

Prime factors of 78009 are 3, 26003. Prime factorization of 78009 in exponential form is:

78009 = 3¹ × 26003¹

Step-2: Prime Factorization of 78016

Prime factors of 78016 are 2, 23, 53. Prime factorization of 78016 in exponential form is:

78016 = 2⁶ × 23¹ × 53¹

Step-3: Factors of 78009

List of positive integer factors of 78009 that divides 78009 without a remainder.

1, 3, 26003

Step-4: Factors of 78016

List of positive integer factors of 78016 that divides 78009 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 53, 64, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1472, 1696, 2438, 3392, 4876, 9752, 19504, 39008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78009 and 78016. The biggest common factor number is the GCF number.
So the greatest common factor 78009 and 78016 is 1.

Also check out the Least Common Multiple of 78009 and 78016