What is the Greatest Common Factor of 36256 and 36272?

Greatest common factor (GCF) of 36256 and 36272 is 16.

GCF(36256,36272) = 16

We will now calculate the prime factors of 36256 and 36272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36256 and 36272.

How to find the GCF of 36256 and 36272?

We will first find the prime factorization of 36256 and 36272. After we will calculate the factors of 36256 and 36272 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 36272

Prime factors of 36272 are 2, 2267. Prime factorization of 36272 in exponential form is:

36272 = 2⁴ × 2267¹

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 36272

List of positive integer factors of 36272 that divides 36256 without a remainder.

1, 2, 4, 8, 16, 2267, 4534, 9068, 18136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36256 and 36272. The biggest common factor number is the GCF number.
So the greatest common factor 36256 and 36272 is 16.

Also check out the Least Common Multiple of 36256 and 36272