What is the Greatest Common Factor of 72448 and 72464?

Greatest common factor (GCF) of 72448 and 72464 is 16.

GCF(72448,72464) = 16

We will now calculate the prime factors of 72448 and 72464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72448 and 72464.

How to find the GCF of 72448 and 72464?

We will first find the prime factorization of 72448 and 72464. After we will calculate the factors of 72448 and 72464 and find the biggest common factor number .

Step-1: Prime Factorization of 72448

Prime factors of 72448 are 2, 283. Prime factorization of 72448 in exponential form is:

72448 = 2⁸ × 283¹

Step-2: 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-3: Factors of 72448

List of positive integer factors of 72448 that divides 72448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 283, 566, 1132, 2264, 4528, 9056, 18112, 36224

Step-4: Factors of 72464

List of positive integer factors of 72464 that divides 72448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72448 and 72464. The biggest common factor number is the GCF number.
So the greatest common factor 72448 and 72464 is 16.

Also check out the Least Common Multiple of 72448 and 72464