What is the Greatest Common Factor of 72448 and 72457?

Greatest common factor (GCF) of 72448 and 72457 is 1.

GCF(72448,72457) = 1

We will now calculate the prime factors of 72448 and 72457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72448 and 72457.

How to find the GCF of 72448 and 72457?

We will first find the prime factorization of 72448 and 72457. After we will calculate the factors of 72448 and 72457 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 72457

Prime factors of 72457 are 7, 11, 941. Prime factorization of 72457 in exponential form is:

72457 = 7¹ × 11¹ × 941¹

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 72457

List of positive integer factors of 72457 that divides 72448 without a remainder.

1, 7, 11, 77, 941, 6587, 10351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72448 and 72457. The biggest common factor number is the GCF number.
So the greatest common factor 72448 and 72457 is 1.

Also check out the Least Common Multiple of 72448 and 72457