What is the Greatest Common Factor of 67296 and 67302?

Greatest common factor (GCF) of 67296 and 67302 is 6.

GCF(67296,67302) = 6

We will now calculate the prime factors of 67296 and 67302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67296 and 67302.

How to find the GCF of 67296 and 67302?

We will first find the prime factorization of 67296 and 67302. After we will calculate the factors of 67296 and 67302 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 67302

Prime factors of 67302 are 2, 3, 3739. Prime factorization of 67302 in exponential form is:

67302 = 2¹ × 3² × 3739¹

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 67302

List of positive integer factors of 67302 that divides 67296 without a remainder.

1, 2, 3, 6, 9, 18, 3739, 7478, 11217, 22434, 33651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67296 and 67302. The biggest common factor number is the GCF number.
So the greatest common factor 67296 and 67302 is 6.

Also check out the Least Common Multiple of 67296 and 67302