What is the Greatest Common Factor of 72464 and 72482?

Greatest common factor (GCF) of 72464 and 72482 is 2.

GCF(72464,72482) = 2

We will now calculate the prime factors of 72464 and 72482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72464 and 72482.

How to find the GCF of 72464 and 72482?

We will first find the prime factorization of 72464 and 72482. After we will calculate the factors of 72464 and 72482 and find the biggest common factor number .

Step-1: Prime Factorization of 72464

Prime factors of 72464 are 2, 7, 647. Prime factorization of 72464 in exponential form is:

72464 = 2⁴ × 7¹ × 647¹

Step-2: Prime Factorization of 72482

Prime factors of 72482 are 2, 36241. Prime factorization of 72482 in exponential form is:

72482 = 2¹ × 36241¹

Step-3: Factors of 72464

List of positive integer factors of 72464 that divides 72464 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 647, 1294, 2588, 4529, 5176, 9058, 10352, 18116, 36232

Step-4: Factors of 72482

List of positive integer factors of 72482 that divides 72464 without a remainder.

1, 2, 36241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72464 and 72482. The biggest common factor number is the GCF number.
So the greatest common factor 72464 and 72482 is 2.

Also check out the Least Common Multiple of 72464 and 72482