What is the Greatest Common Factor of 72228 and 72243?

Greatest common factor (GCF) of 72228 and 72243 is 3.

GCF(72228,72243) = 3

We will now calculate the prime factors of 72228 and 72243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72228 and 72243.

How to find the GCF of 72228 and 72243?

We will first find the prime factorization of 72228 and 72243. After we will calculate the factors of 72228 and 72243 and find the biggest common factor number .

Step-1: Prime Factorization of 72228

Prime factors of 72228 are 2, 3, 13, 463. Prime factorization of 72228 in exponential form is:

72228 = 2² × 3¹ × 13¹ × 463¹

Step-2: Prime Factorization of 72243

Prime factors of 72243 are 3, 23, 349. Prime factorization of 72243 in exponential form is:

72243 = 3² × 23¹ × 349¹

Step-3: Factors of 72228

List of positive integer factors of 72228 that divides 72228 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 463, 926, 1389, 1852, 2778, 5556, 6019, 12038, 18057, 24076, 36114

Step-4: Factors of 72243

List of positive integer factors of 72243 that divides 72228 without a remainder.

1, 3, 9, 23, 69, 207, 349, 1047, 3141, 8027, 24081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72228 and 72243. The biggest common factor number is the GCF number.
So the greatest common factor 72228 and 72243 is 3.

Also check out the Least Common Multiple of 72228 and 72243