What is the Greatest Common Factor of 72289 and 72305?

Greatest common factor (GCF) of 72289 and 72305 is 1.

GCF(72289,72305) = 1

We will now calculate the prime factors of 72289 and 72305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72289 and 72305.

How to find the GCF of 72289 and 72305?

We will first find the prime factorization of 72289 and 72305. After we will calculate the factors of 72289 and 72305 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 72305

Prime factors of 72305 are 5, 14461. Prime factorization of 72305 in exponential form is:

72305 = 5¹ × 14461¹

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 72305

List of positive integer factors of 72305 that divides 72289 without a remainder.

1, 5, 14461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72289 and 72305. The biggest common factor number is the GCF number.
So the greatest common factor 72289 and 72305 is 1.

Also check out the Least Common Multiple of 72289 and 72305