What is the Greatest Common Factor of 72344 and 72364?

Greatest common factor (GCF) of 72344 and 72364 is 4.

GCF(72344,72364) = 4

We will now calculate the prime factors of 72344 and 72364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72344 and 72364.

How to find the GCF of 72344 and 72364?

We will first find the prime factorization of 72344 and 72364. After we will calculate the factors of 72344 and 72364 and find the biggest common factor number .

Step-1: Prime Factorization of 72344

Prime factors of 72344 are 2, 9043. Prime factorization of 72344 in exponential form is:

72344 = 2³ × 9043¹

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 72344

List of positive integer factors of 72344 that divides 72344 without a remainder.

1, 2, 4, 8, 9043, 18086, 36172

Step-4: Factors of 72364

List of positive integer factors of 72364 that divides 72344 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 72344 and 72364. The biggest common factor number is the GCF number.
So the greatest common factor 72344 and 72364 is 4.

Also check out the Least Common Multiple of 72344 and 72364