What is the Greatest Common Factor of 40256 and 40272?

Greatest common factor (GCF) of 40256 and 40272 is 16.

GCF(40256,40272) = 16

We will now calculate the prime factors of 40256 and 40272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40256 and 40272.

How to find the GCF of 40256 and 40272?

We will first find the prime factorization of 40256 and 40272. After we will calculate the factors of 40256 and 40272 and find the biggest common factor number .

Step-1: Prime Factorization of 40256

Prime factors of 40256 are 2, 17, 37. Prime factorization of 40256 in exponential form is:

40256 = 2⁶ × 17¹ × 37¹

Step-2: Prime Factorization of 40272

Prime factors of 40272 are 2, 3, 839. Prime factorization of 40272 in exponential form is:

40272 = 2⁴ × 3¹ × 839¹

Step-3: Factors of 40256

List of positive integer factors of 40256 that divides 40256 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 37, 64, 68, 74, 136, 148, 272, 296, 544, 592, 629, 1088, 1184, 1258, 2368, 2516, 5032, 10064, 20128

Step-4: Factors of 40272

List of positive integer factors of 40272 that divides 40256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 839, 1678, 2517, 3356, 5034, 6712, 10068, 13424, 20136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40256 and 40272. The biggest common factor number is the GCF number.
So the greatest common factor 40256 and 40272 is 16.

Also check out the Least Common Multiple of 40256 and 40272