What is the Greatest Common Factor of 72264 and 72282?

Greatest common factor (GCF) of 72264 and 72282 is 6.

GCF(72264,72282) = 6

We will now calculate the prime factors of 72264 and 72282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72264 and 72282.

How to find the GCF of 72264 and 72282?

We will first find the prime factorization of 72264 and 72282. After we will calculate the factors of 72264 and 72282 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72282

Prime factors of 72282 are 2, 3, 7, 1721. Prime factorization of 72282 in exponential form is:

72282 = 2¹ × 3¹ × 7¹ × 1721¹

Step-3: Factors of 72264

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

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

Step-4: Factors of 72282

List of positive integer factors of 72282 that divides 72264 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1721, 3442, 5163, 10326, 12047, 24094, 36141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72264 and 72282. The biggest common factor number is the GCF number.
So the greatest common factor 72264 and 72282 is 6.

Also check out the Least Common Multiple of 72264 and 72282