What is the Greatest Common Factor of 40256 and 40262?

Greatest common factor (GCF) of 40256 and 40262 is 2.

GCF(40256,40262) = 2

We will now calculate the prime factors of 40256 and 40262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40256 and 40262.

How to find the GCF of 40256 and 40262?

We will first find the prime factorization of 40256 and 40262. After we will calculate the factors of 40256 and 40262 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 40262

Prime factors of 40262 are 2, 41, 491. Prime factorization of 40262 in exponential form is:

40262 = 2¹ × 41¹ × 491¹

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 40262

List of positive integer factors of 40262 that divides 40256 without a remainder.

1, 2, 41, 82, 491, 982, 20131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40256 and 40262. The biggest common factor number is the GCF number.
So the greatest common factor 40256 and 40262 is 2.

Also check out the Least Common Multiple of 40256 and 40262