What is the Greatest Common Factor of 67296 and 67316?

Greatest common factor (GCF) of 67296 and 67316 is 4.

GCF(67296,67316) = 4

We will now calculate the prime factors of 67296 and 67316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67296 and 67316.

How to find the GCF of 67296 and 67316?

We will first find the prime factorization of 67296 and 67316. After we will calculate the factors of 67296 and 67316 and find the biggest common factor number .

Step-1: Prime Factorization of 67296

Prime factors of 67296 are 2, 3, 701. Prime factorization of 67296 in exponential form is:

67296 = 2⁵ × 3¹ × 701¹

Step-2: Prime Factorization of 67316

Prime factors of 67316 are 2, 16829. Prime factorization of 67316 in exponential form is:

67316 = 2² × 16829¹

Step-3: Factors of 67296

List of positive integer factors of 67296 that divides 67296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 701, 1402, 2103, 2804, 4206, 5608, 8412, 11216, 16824, 22432, 33648

Step-4: Factors of 67316

List of positive integer factors of 67316 that divides 67296 without a remainder.

1, 2, 4, 16829, 33658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67296 and 67316. The biggest common factor number is the GCF number.
So the greatest common factor 67296 and 67316 is 4.

Also check out the Least Common Multiple of 67296 and 67316