What is the Greatest Common Factor of 67296 and 67304?

Greatest common factor (GCF) of 67296 and 67304 is 8.

GCF(67296,67304) = 8

We will now calculate the prime factors of 67296 and 67304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67296 and 67304.

How to find the GCF of 67296 and 67304?

We will first find the prime factorization of 67296 and 67304. After we will calculate the factors of 67296 and 67304 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 67304

Prime factors of 67304 are 2, 47, 179. Prime factorization of 67304 in exponential form is:

67304 = 2³ × 47¹ × 179¹

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 67304

List of positive integer factors of 67304 that divides 67296 without a remainder.

1, 2, 4, 8, 47, 94, 179, 188, 358, 376, 716, 1432, 8413, 16826, 33652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67296 and 67304. The biggest common factor number is the GCF number.
So the greatest common factor 67296 and 67304 is 8.

Also check out the Least Common Multiple of 67296 and 67304