What is the Greatest Common Factor of 65996 and 66016?

Greatest common factor (GCF) of 65996 and 66016 is 4.

GCF(65996,66016) = 4

We will now calculate the prime factors of 65996 and 66016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65996 and 66016.

How to find the GCF of 65996 and 66016?

We will first find the prime factorization of 65996 and 66016. After we will calculate the factors of 65996 and 66016 and find the biggest common factor number .

Step-1: Prime Factorization of 65996

Prime factors of 65996 are 2, 7, 2357. Prime factorization of 65996 in exponential form is:

65996 = 2² × 7¹ × 2357¹

Step-2: Prime Factorization of 66016

Prime factors of 66016 are 2, 2063. Prime factorization of 66016 in exponential form is:

66016 = 2⁵ × 2063¹

Step-3: Factors of 65996

List of positive integer factors of 65996 that divides 65996 without a remainder.

1, 2, 4, 7, 14, 28, 2357, 4714, 9428, 16499, 32998

Step-4: Factors of 66016

List of positive integer factors of 66016 that divides 65996 without a remainder.

1, 2, 4, 8, 16, 32, 2063, 4126, 8252, 16504, 33008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65996 and 66016. The biggest common factor number is the GCF number.
So the greatest common factor 65996 and 66016 is 4.

Also check out the Least Common Multiple of 65996 and 66016