What is the Greatest Common Factor of 72289 and 72293?

Greatest common factor (GCF) of 72289 and 72293 is 1.

GCF(72289,72293) = 1

We will now calculate the prime factors of 72289 and 72293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72289 and 72293.

How to find the GCF of 72289 and 72293?

We will first find the prime factorization of 72289 and 72293. After we will calculate the factors of 72289 and 72293 and find the biggest common factor number .

Step-1: Prime Factorization of 72289

Prime factors of 72289 are 7, 23, 449. Prime factorization of 72289 in exponential form is:

72289 = 7¹ × 23¹ × 449¹

Step-2: Prime Factorization of 72293

Prime factors of 72293 are 13, 67, 83. Prime factorization of 72293 in exponential form is:

72293 = 13¹ × 67¹ × 83¹

Step-3: Factors of 72289

List of positive integer factors of 72289 that divides 72289 without a remainder.

1, 7, 23, 161, 449, 3143, 10327

Step-4: Factors of 72293

List of positive integer factors of 72293 that divides 72289 without a remainder.

1, 13, 67, 83, 871, 1079, 5561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72289 and 72293. The biggest common factor number is the GCF number.
So the greatest common factor 72289 and 72293 is 1.

Also check out the Least Common Multiple of 72289 and 72293