What is the Greatest Common Factor of 72228 and 72247?

Greatest common factor (GCF) of 72228 and 72247 is 1.

GCF(72228,72247) = 1

We will now calculate the prime factors of 72228 and 72247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72228 and 72247.

How to find the GCF of 72228 and 72247?

We will first find the prime factorization of 72228 and 72247. After we will calculate the factors of 72228 and 72247 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 72247

Prime factors of 72247 are 7, 10321. Prime factorization of 72247 in exponential form is:

72247 = 7¹ × 10321¹

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 72247

List of positive integer factors of 72247 that divides 72228 without a remainder.

1, 7, 10321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72228 and 72247. The biggest common factor number is the GCF number.
So the greatest common factor 72228 and 72247 is 1.

Also check out the Least Common Multiple of 72228 and 72247