What is the Greatest Common Factor of 72256 and 72262?

Greatest common factor (GCF) of 72256 and 72262 is 2.

GCF(72256,72262) = 2

We will now calculate the prime factors of 72256 and 72262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72256 and 72262.

How to find the GCF of 72256 and 72262?

We will first find the prime factorization of 72256 and 72262. After we will calculate the factors of 72256 and 72262 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 72262

Prime factors of 72262 are 2, 36131. Prime factorization of 72262 in exponential form is:

72262 = 2¹ × 36131¹

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 72262

List of positive integer factors of 72262 that divides 72256 without a remainder.

1, 2, 36131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72256 and 72262. The biggest common factor number is the GCF number.
So the greatest common factor 72256 and 72262 is 2.

Also check out the Least Common Multiple of 72256 and 72262