What is the Greatest Common Factor of 67290 and 67296?

Greatest common factor (GCF) of 67290 and 67296 is 6.

GCF(67290,67296) = 6

We will now calculate the prime factors of 67290 and 67296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67290 and 67296.

How to find the GCF of 67290 and 67296?

We will first find the prime factorization of 67290 and 67296. After we will calculate the factors of 67290 and 67296 and find the biggest common factor number .

Step-1: Prime Factorization of 67290

Prime factors of 67290 are 2, 3, 5, 2243. Prime factorization of 67290 in exponential form is:

67290 = 2¹ × 3¹ × 5¹ × 2243¹

Step-2: 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-3: Factors of 67290

List of positive integer factors of 67290 that divides 67290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2243, 4486, 6729, 11215, 13458, 22430, 33645

Step-4: Factors of 67296

List of positive integer factors of 67296 that divides 67290 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67290 and 67296. The biggest common factor number is the GCF number.
So the greatest common factor 67290 and 67296 is 6.

Also check out the Least Common Multiple of 67290 and 67296