What is the Greatest Common Factor of 72277 and 72289?

Greatest common factor (GCF) of 72277 and 72289 is 1.

GCF(72277,72289) = 1

We will now calculate the prime factors of 72277 and 72289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72277 and 72289.

How to find the GCF of 72277 and 72289?

We will first find the prime factorization of 72277 and 72289. After we will calculate the factors of 72277 and 72289 and find the biggest common factor number .

Step-1: Prime Factorization of 72277

Prime factors of 72277 are 72277. Prime factorization of 72277 in exponential form is:

72277 = 72277¹

Step-2: 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-3: Factors of 72277

List of positive integer factors of 72277 that divides 72277 without a remainder.

Step-4: Factors of 72289

List of positive integer factors of 72289 that divides 72277 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72277 and 72289. The biggest common factor number is the GCF number.
So the greatest common factor 72277 and 72289 is 1.

Also check out the Least Common Multiple of 72277 and 72289