What is the Greatest Common Factor of 72288 and 72294?

Greatest common factor (GCF) of 72288 and 72294 is 6.

GCF(72288,72294) = 6

We will now calculate the prime factors of 72288 and 72294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72288 and 72294.

How to find the GCF of 72288 and 72294?

We will first find the prime factorization of 72288 and 72294. After we will calculate the factors of 72288 and 72294 and find the biggest common factor number .

Step-1: Prime Factorization of 72288

Prime factors of 72288 are 2, 3, 251. Prime factorization of 72288 in exponential form is:

72288 = 2⁵ × 3² × 251¹

Step-2: Prime Factorization of 72294

Prime factors of 72294 are 2, 3, 12049. Prime factorization of 72294 in exponential form is:

72294 = 2¹ × 3¹ × 12049¹

Step-3: Factors of 72288

List of positive integer factors of 72288 that divides 72288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 251, 288, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 8032, 9036, 12048, 18072, 24096, 36144

Step-4: Factors of 72294

List of positive integer factors of 72294 that divides 72288 without a remainder.

1, 2, 3, 6, 12049, 24098, 36147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72288 and 72294. The biggest common factor number is the GCF number.
So the greatest common factor 72288 and 72294 is 6.

Also check out the Least Common Multiple of 72288 and 72294