What is the Greatest Common Factor of 36256 and 36267?

Greatest common factor (GCF) of 36256 and 36267 is 11.

GCF(36256,36267) = 11

We will now calculate the prime factors of 36256 and 36267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36256 and 36267.

How to find the GCF of 36256 and 36267?

We will first find the prime factorization of 36256 and 36267. After we will calculate the factors of 36256 and 36267 and find the biggest common factor number .

Step-1: Prime Factorization of 36256

Prime factors of 36256 are 2, 11, 103. Prime factorization of 36256 in exponential form is:

36256 = 2⁵ × 11¹ × 103¹

Step-2: Prime Factorization of 36267

Prime factors of 36267 are 3, 7, 11, 157. Prime factorization of 36267 in exponential form is:

36267 = 3¹ × 7¹ × 11¹ × 157¹

Step-3: Factors of 36256

List of positive integer factors of 36256 that divides 36256 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 103, 176, 206, 352, 412, 824, 1133, 1648, 2266, 3296, 4532, 9064, 18128

Step-4: Factors of 36267

List of positive integer factors of 36267 that divides 36256 without a remainder.

1, 3, 7, 11, 21, 33, 77, 157, 231, 471, 1099, 1727, 3297, 5181, 12089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36256 and 36267. The biggest common factor number is the GCF number.
So the greatest common factor 36256 and 36267 is 11.

Also check out the Least Common Multiple of 36256 and 36267