What is the Greatest Common Factor of 78016 and 78036?

Greatest common factor (GCF) of 78016 and 78036 is 4.

GCF(78016,78036) = 4

We will now calculate the prime factors of 78016 and 78036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78016 and 78036.

How to find the GCF of 78016 and 78036?

We will first find the prime factorization of 78016 and 78036. After we will calculate the factors of 78016 and 78036 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 78036

Prime factors of 78036 are 2, 3, 7, 929. Prime factorization of 78036 in exponential form is:

78036 = 2² × 3¹ × 7¹ × 929¹

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 78036

List of positive integer factors of 78036 that divides 78016 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 929, 1858, 2787, 3716, 5574, 6503, 11148, 13006, 19509, 26012, 39018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78016 and 78036. The biggest common factor number is the GCF number.
So the greatest common factor 78016 and 78036 is 4.

Also check out the Least Common Multiple of 78016 and 78036