What is the Greatest Common Factor of 72256 and 72263?

Greatest common factor (GCF) of 72256 and 72263 is 1.

GCF(72256,72263) = 1

We will now calculate the prime factors of 72256 and 72263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72256 and 72263.

How to find the GCF of 72256 and 72263?

We will first find the prime factorization of 72256 and 72263. After we will calculate the factors of 72256 and 72263 and find the biggest common factor number .

Step-1: Prime Factorization of 72256

Prime factors of 72256 are 2, 1129. Prime factorization of 72256 in exponential form is:

72256 = 2⁶ × 1129¹

Step-2: Prime Factorization of 72263

Prime factors of 72263 are 127, 569. Prime factorization of 72263 in exponential form is:

72263 = 127¹ × 569¹

Step-3: Factors of 72256

List of positive integer factors of 72256 that divides 72256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1129, 2258, 4516, 9032, 18064, 36128

Step-4: Factors of 72263

List of positive integer factors of 72263 that divides 72256 without a remainder.

1, 127, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72256 and 72263. The biggest common factor number is the GCF number.
So the greatest common factor 72256 and 72263 is 1.

Also check out the Least Common Multiple of 72256 and 72263