What is the Greatest Common Factor of 80316 and 80326?

Greatest common factor (GCF) of 80316 and 80326 is 2.

GCF(80316,80326) = 2

We will now calculate the prime factors of 80316 and 80326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80316 and 80326.

How to find the GCF of 80316 and 80326?

We will first find the prime factorization of 80316 and 80326. After we will calculate the factors of 80316 and 80326 and find the biggest common factor number .

Step-1: Prime Factorization of 80316

Prime factors of 80316 are 2, 3, 23, 97. Prime factorization of 80316 in exponential form is:

80316 = 2² × 3² × 23¹ × 97¹

Step-2: Prime Factorization of 80326

Prime factors of 80326 are 2, 40163. Prime factorization of 80326 in exponential form is:

80326 = 2¹ × 40163¹

Step-3: Factors of 80316

List of positive integer factors of 80316 that divides 80316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 97, 138, 194, 207, 276, 291, 388, 414, 582, 828, 873, 1164, 1746, 2231, 3492, 4462, 6693, 8924, 13386, 20079, 26772, 40158

Step-4: Factors of 80326

List of positive integer factors of 80326 that divides 80316 without a remainder.

1, 2, 40163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80316 and 80326. The biggest common factor number is the GCF number.
So the greatest common factor 80316 and 80326 is 2.

Also check out the Least Common Multiple of 80316 and 80326