What is the Greatest Common Factor of 83278 and 83296?

Greatest common factor (GCF) of 83278 and 83296 is 2.

GCF(83278,83296) = 2

We will now calculate the prime factors of 83278 and 83296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83278 and 83296.

How to find the GCF of 83278 and 83296?

We will first find the prime factorization of 83278 and 83296. After we will calculate the factors of 83278 and 83296 and find the biggest common factor number .

Step-1: Prime Factorization of 83278

Prime factors of 83278 are 2, 13, 3203. Prime factorization of 83278 in exponential form is:

83278 = 2¹ × 13¹ × 3203¹

Step-2: Prime Factorization of 83296

Prime factors of 83296 are 2, 19, 137. Prime factorization of 83296 in exponential form is:

83296 = 2⁵ × 19¹ × 137¹

Step-3: Factors of 83278

List of positive integer factors of 83278 that divides 83278 without a remainder.

1, 2, 13, 26, 3203, 6406, 41639

Step-4: Factors of 83296

List of positive integer factors of 83296 that divides 83278 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 137, 152, 274, 304, 548, 608, 1096, 2192, 2603, 4384, 5206, 10412, 20824, 41648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83278 and 83296. The biggest common factor number is the GCF number.
So the greatest common factor 83278 and 83296 is 2.

Also check out the Least Common Multiple of 83278 and 83296