What is the Greatest Common Factor of 72243 and 72254?

Greatest common factor (GCF) of 72243 and 72254 is 1.

GCF(72243,72254) = 1

We will now calculate the prime factors of 72243 and 72254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72243 and 72254.

How to find the GCF of 72243 and 72254?

We will first find the prime factorization of 72243 and 72254. After we will calculate the factors of 72243 and 72254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72254

Prime factors of 72254 are 2, 7, 13, 397. Prime factorization of 72254 in exponential form is:

72254 = 2¹ × 7¹ × 13¹ × 397¹

Step-3: Factors of 72243

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

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

Step-4: Factors of 72254

List of positive integer factors of 72254 that divides 72243 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 397, 794, 2779, 5161, 5558, 10322, 36127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72243 and 72254. The biggest common factor number is the GCF number.
So the greatest common factor 72243 and 72254 is 1.

Also check out the Least Common Multiple of 72243 and 72254