What is the Greatest Common Factor of 78016 and 78027?

Greatest common factor (GCF) of 78016 and 78027 is 1.

GCF(78016,78027) = 1

We will now calculate the prime factors of 78016 and 78027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78016 and 78027.

How to find the GCF of 78016 and 78027?

We will first find the prime factorization of 78016 and 78027. After we will calculate the factors of 78016 and 78027 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78027

Prime factors of 78027 are 3, 31, 839. Prime factorization of 78027 in exponential form is:

78027 = 3¹ × 31¹ × 839¹

Step-3: Factors of 78016

List of positive integer factors of 78016 that divides 78016 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

Step-4: Factors of 78027

List of positive integer factors of 78027 that divides 78016 without a remainder.

1, 3, 31, 93, 839, 2517, 26009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78016 and 78027. The biggest common factor number is the GCF number.
So the greatest common factor 78016 and 78027 is 1.

Also check out the Least Common Multiple of 78016 and 78027