What is the Greatest Common Factor of 40256 and 40273?

Greatest common factor (GCF) of 40256 and 40273 is 17.

GCF(40256,40273) = 17

We will now calculate the prime factors of 40256 and 40273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40256 and 40273.

How to find the GCF of 40256 and 40273?

We will first find the prime factorization of 40256 and 40273. After we will calculate the factors of 40256 and 40273 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 40273

Prime factors of 40273 are 17, 23, 103. Prime factorization of 40273 in exponential form is:

40273 = 17¹ × 23¹ × 103¹

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 40273

List of positive integer factors of 40273 that divides 40256 without a remainder.

1, 17, 23, 103, 391, 1751, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40256 and 40273. The biggest common factor number is the GCF number.
So the greatest common factor 40256 and 40273 is 17.

Also check out the Least Common Multiple of 40256 and 40273