What is the Greatest Common Factor of 72257 and 72267?

Greatest common factor (GCF) of 72257 and 72267 is 1.

GCF(72257,72267) = 1

We will now calculate the prime factors of 72257 and 72267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72257 and 72267.

How to find the GCF of 72257 and 72267?

We will first find the prime factorization of 72257 and 72267. After we will calculate the factors of 72257 and 72267 and find the biggest common factor number .

Step-1: Prime Factorization of 72257

Prime factors of 72257 are 19, 3803. Prime factorization of 72257 in exponential form is:

72257 = 19¹ × 3803¹

Step-2: Prime Factorization of 72267

Prime factors of 72267 are 3, 13, 17, 109. Prime factorization of 72267 in exponential form is:

72267 = 3¹ × 13¹ × 17¹ × 109¹

Step-3: Factors of 72257

List of positive integer factors of 72257 that divides 72257 without a remainder.

1, 19, 3803

Step-4: Factors of 72267

List of positive integer factors of 72267 that divides 72257 without a remainder.

1, 3, 13, 17, 39, 51, 109, 221, 327, 663, 1417, 1853, 4251, 5559, 24089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72257 and 72267. The biggest common factor number is the GCF number.
So the greatest common factor 72257 and 72267 is 1.

Also check out the Least Common Multiple of 72257 and 72267