What is the Greatest Common Factor of 77998 and 78016?

Greatest common factor (GCF) of 77998 and 78016 is 2.

GCF(77998,78016) = 2

We will now calculate the prime factors of 77998 and 78016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77998 and 78016.

How to find the GCF of 77998 and 78016?

We will first find the prime factorization of 77998 and 78016. After we will calculate the factors of 77998 and 78016 and find the biggest common factor number .

Step-1: Prime Factorization of 77998

Prime factors of 77998 are 2, 59, 661. Prime factorization of 77998 in exponential form is:

77998 = 2¹ × 59¹ × 661¹

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 77998

List of positive integer factors of 77998 that divides 77998 without a remainder.

1, 2, 59, 118, 661, 1322, 38999

Step-4: Factors of 78016

List of positive integer factors of 78016 that divides 77998 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 77998 and 78016. The biggest common factor number is the GCF number.
So the greatest common factor 77998 and 78016 is 2.

Also check out the Least Common Multiple of 77998 and 78016