What is the Greatest Common Factor of 72249 and 72264?

Greatest common factor (GCF) of 72249 and 72264 is 3.

GCF(72249,72264) = 3

We will now calculate the prime factors of 72249 and 72264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72249 and 72264.

How to find the GCF of 72249 and 72264?

We will first find the prime factorization of 72249 and 72264. After we will calculate the factors of 72249 and 72264 and find the biggest common factor number .

Step-1: Prime Factorization of 72249

Prime factors of 72249 are 3, 24083. Prime factorization of 72249 in exponential form is:

72249 = 3¹ × 24083¹

Step-2: Prime Factorization of 72264

Prime factors of 72264 are 2, 3, 3011. Prime factorization of 72264 in exponential form is:

72264 = 2³ × 3¹ × 3011¹

Step-3: Factors of 72249

List of positive integer factors of 72249 that divides 72249 without a remainder.

1, 3, 24083

Step-4: Factors of 72264

List of positive integer factors of 72264 that divides 72249 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3011, 6022, 9033, 12044, 18066, 24088, 36132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72249 and 72264. The biggest common factor number is the GCF number.
So the greatest common factor 72249 and 72264 is 3.

Also check out the Least Common Multiple of 72249 and 72264