What is the Greatest Common Factor of 78016 and 78032?

Greatest common factor (GCF) of 78016 and 78032 is 16.

GCF(78016,78032) = 16

We will now calculate the prime factors of 78016 and 78032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78016 and 78032.

How to find the GCF of 78016 and 78032?

We will first find the prime factorization of 78016 and 78032. After we will calculate the factors of 78016 and 78032 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 78032

Prime factors of 78032 are 2, 4877. Prime factorization of 78032 in exponential form is:

78032 = 2⁴ × 4877¹

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 78032

List of positive integer factors of 78032 that divides 78016 without a remainder.

1, 2, 4, 8, 16, 4877, 9754, 19508, 39016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78016 and 78032. The biggest common factor number is the GCF number.
So the greatest common factor 78016 and 78032 is 16.

Also check out the Least Common Multiple of 78016 and 78032