What is the Greatest Common Factor of 41728 and 41734?

Greatest common factor (GCF) of 41728 and 41734 is 2.

GCF(41728,41734) = 2

We will now calculate the prime factors of 41728 and 41734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41728 and 41734.

How to find the GCF of 41728 and 41734?

We will first find the prime factorization of 41728 and 41734. After we will calculate the factors of 41728 and 41734 and find the biggest common factor number .

Step-1: Prime Factorization of 41728

Prime factors of 41728 are 2, 163. Prime factorization of 41728 in exponential form is:

41728 = 2⁸ × 163¹

Step-2: Prime Factorization of 41734

Prime factors of 41734 are 2, 7, 11, 271. Prime factorization of 41734 in exponential form is:

41734 = 2¹ × 7¹ × 11¹ × 271¹

Step-3: Factors of 41728

List of positive integer factors of 41728 that divides 41728 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 163, 256, 326, 652, 1304, 2608, 5216, 10432, 20864

Step-4: Factors of 41734

List of positive integer factors of 41734 that divides 41728 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 271, 542, 1897, 2981, 3794, 5962, 20867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41728 and 41734. The biggest common factor number is the GCF number.
So the greatest common factor 41728 and 41734 is 2.

Also check out the Least Common Multiple of 41728 and 41734