What is the Greatest Common Factor of 41412 and 41424?

Greatest common factor (GCF) of 41412 and 41424 is 12.

GCF(41412,41424) = 12

We will now calculate the prime factors of 41412 and 41424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41412 and 41424.

How to find the GCF of 41412 and 41424?

We will first find the prime factorization of 41412 and 41424. After we will calculate the factors of 41412 and 41424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41424

Prime factors of 41424 are 2, 3, 863. Prime factorization of 41424 in exponential form is:

41424 = 2⁴ × 3¹ × 863¹

Step-3: Factors of 41412

List of positive integer factors of 41412 that divides 41412 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

Step-4: Factors of 41424

List of positive integer factors of 41424 that divides 41412 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 863, 1726, 2589, 3452, 5178, 6904, 10356, 13808, 20712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41412 and 41424. The biggest common factor number is the GCF number.
So the greatest common factor 41412 and 41424 is 12.

Also check out the Least Common Multiple of 41412 and 41424