What is the Greatest Common Factor of 72213 and 72228?

Greatest common factor (GCF) of 72213 and 72228 is 3.

GCF(72213,72228) = 3

We will now calculate the prime factors of 72213 and 72228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72213 and 72228.

How to find the GCF of 72213 and 72228?

We will first find the prime factorization of 72213 and 72228. After we will calculate the factors of 72213 and 72228 and find the biggest common factor number .

Step-1: Prime Factorization of 72213

Prime factors of 72213 are 3, 24071. Prime factorization of 72213 in exponential form is:

72213 = 3¹ × 24071¹

Step-2: 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-3: Factors of 72213

List of positive integer factors of 72213 that divides 72213 without a remainder.

1, 3, 24071

Step-4: Factors of 72228

List of positive integer factors of 72228 that divides 72213 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72213 and 72228. The biggest common factor number is the GCF number.
So the greatest common factor 72213 and 72228 is 3.

Also check out the Least Common Multiple of 72213 and 72228