What is the Greatest Common Factor of 66278 and 66296?

Greatest common factor (GCF) of 66278 and 66296 is 2.

GCF(66278,66296) = 2

We will now calculate the prime factors of 66278 and 66296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66278 and 66296.

How to find the GCF of 66278 and 66296?

We will first find the prime factorization of 66278 and 66296. After we will calculate the factors of 66278 and 66296 and find the biggest common factor number .

Step-1: Prime Factorization of 66278

Prime factors of 66278 are 2, 31, 1069. Prime factorization of 66278 in exponential form is:

66278 = 2¹ × 31¹ × 1069¹

Step-2: Prime Factorization of 66296

Prime factors of 66296 are 2, 8287. Prime factorization of 66296 in exponential form is:

66296 = 2³ × 8287¹

Step-3: Factors of 66278

List of positive integer factors of 66278 that divides 66278 without a remainder.

1, 2, 31, 62, 1069, 2138, 33139

Step-4: Factors of 66296

List of positive integer factors of 66296 that divides 66278 without a remainder.

1, 2, 4, 8, 8287, 16574, 33148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66278 and 66296. The biggest common factor number is the GCF number.
So the greatest common factor 66278 and 66296 is 2.

Also check out the Least Common Multiple of 66278 and 66296