What is the Greatest Common Factor of 41408 and 41412?

Greatest common factor (GCF) of 41408 and 41412 is 4.

GCF(41408,41412) = 4

We will now calculate the prime factors of 41408 and 41412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41408 and 41412.

How to find the GCF of 41408 and 41412?

We will first find the prime factorization of 41408 and 41412. After we will calculate the factors of 41408 and 41412 and find the biggest common factor number .

Step-1: Prime Factorization of 41408

Prime factors of 41408 are 2, 647. Prime factorization of 41408 in exponential form is:

41408 = 2⁶ × 647¹

Step-2: Prime Factorization of 41412

Prime factors of 41412 are 2, 3, 7, 17, 29. Prime factorization of 41412 in exponential form is:

41412 = 2² × 3¹ × 7¹ × 17¹ × 29¹

Step-3: Factors of 41408

List of positive integer factors of 41408 that divides 41408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 647, 1294, 2588, 5176, 10352, 20704

Step-4: Factors of 41412

List of positive integer factors of 41412 that divides 41408 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 29, 34, 42, 51, 58, 68, 84, 87, 102, 116, 119, 174, 203, 204, 238, 348, 357, 406, 476, 493, 609, 714, 812, 986, 1218, 1428, 1479, 1972, 2436, 2958, 3451, 5916, 6902, 10353, 13804, 20706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41408 and 41412. The biggest common factor number is the GCF number.
So the greatest common factor 41408 and 41412 is 4.

Also check out the Least Common Multiple of 41408 and 41412