What is the Greatest Common Factor of 72347 and 72364?

Greatest common factor (GCF) of 72347 and 72364 is 1.

GCF(72347,72364) = 1

We will now calculate the prime factors of 72347 and 72364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72347 and 72364.

How to find the GCF of 72347 and 72364?

We will first find the prime factorization of 72347 and 72364. After we will calculate the factors of 72347 and 72364 and find the biggest common factor number .

Step-1: Prime Factorization of 72347

Prime factors of 72347 are 11, 6577. Prime factorization of 72347 in exponential form is:

72347 = 11¹ × 6577¹

Step-2: Prime Factorization of 72364

Prime factors of 72364 are 2, 79, 229. Prime factorization of 72364 in exponential form is:

72364 = 2² × 79¹ × 229¹

Step-3: Factors of 72347

List of positive integer factors of 72347 that divides 72347 without a remainder.

1, 11, 6577

Step-4: Factors of 72364

List of positive integer factors of 72364 that divides 72347 without a remainder.

1, 2, 4, 79, 158, 229, 316, 458, 916, 18091, 36182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72347 and 72364. The biggest common factor number is the GCF number.
So the greatest common factor 72347 and 72364 is 1.

Also check out the Least Common Multiple of 72347 and 72364