What is the Greatest Common Factor of 72238 and 72256?

Greatest common factor (GCF) of 72238 and 72256 is 2.

GCF(72238,72256) = 2

We will now calculate the prime factors of 72238 and 72256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72238 and 72256.

How to find the GCF of 72238 and 72256?

We will first find the prime factorization of 72238 and 72256. After we will calculate the factors of 72238 and 72256 and find the biggest common factor number .

Step-1: Prime Factorization of 72238

Prime factors of 72238 are 2, 19, 1901. Prime factorization of 72238 in exponential form is:

72238 = 2¹ × 19¹ × 1901¹

Step-2: Prime Factorization of 72256

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

72256 = 2⁶ × 1129¹

Step-3: Factors of 72238

List of positive integer factors of 72238 that divides 72238 without a remainder.

1, 2, 19, 38, 1901, 3802, 36119

Step-4: Factors of 72256

List of positive integer factors of 72256 that divides 72238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72238 and 72256. The biggest common factor number is the GCF number.
So the greatest common factor 72238 and 72256 is 2.

Also check out the Least Common Multiple of 72238 and 72256