What is the Greatest Common Factor of 41416 and 41424?

Greatest common factor (GCF) of 41416 and 41424 is 8.

GCF(41416,41424) = 8

We will now calculate the prime factors of 41416 and 41424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41416 and 41424.

How to find the GCF of 41416 and 41424?

We will first find the prime factorization of 41416 and 41424. After we will calculate the factors of 41416 and 41424 and find the biggest common factor number .

Step-1: Prime Factorization of 41416

Prime factors of 41416 are 2, 31, 167. Prime factorization of 41416 in exponential form is:

41416 = 2³ × 31¹ × 167¹

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 41416

List of positive integer factors of 41416 that divides 41416 without a remainder.

1, 2, 4, 8, 31, 62, 124, 167, 248, 334, 668, 1336, 5177, 10354, 20708

Step-4: Factors of 41424

List of positive integer factors of 41424 that divides 41416 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 41416 and 41424. The biggest common factor number is the GCF number.
So the greatest common factor 41416 and 41424 is 8.

Also check out the Least Common Multiple of 41416 and 41424