What is the Greatest Common Factor of 72256 and 72268?

Greatest common factor (GCF) of 72256 and 72268 is 4.

GCF(72256,72268) = 4

We will now calculate the prime factors of 72256 and 72268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72256 and 72268.

How to find the GCF of 72256 and 72268?

We will first find the prime factorization of 72256 and 72268. After we will calculate the factors of 72256 and 72268 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 72268

Prime factors of 72268 are 2, 7, 29, 89. Prime factorization of 72268 in exponential form is:

72268 = 2² × 7¹ × 29¹ × 89¹

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 72268

List of positive integer factors of 72268 that divides 72256 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 89, 116, 178, 203, 356, 406, 623, 812, 1246, 2492, 2581, 5162, 10324, 18067, 36134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72256 and 72268. The biggest common factor number is the GCF number.
So the greatest common factor 72256 and 72268 is 4.

Also check out the Least Common Multiple of 72256 and 72268