What is the Greatest Common Factor of 41596 and 41616?

Greatest common factor (GCF) of 41596 and 41616 is 4.

GCF(41596,41616) = 4

We will now calculate the prime factors of 41596 and 41616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41596 and 41616.

How to find the GCF of 41596 and 41616?

We will first find the prime factorization of 41596 and 41616. After we will calculate the factors of 41596 and 41616 and find the biggest common factor number .

Step-1: Prime Factorization of 41596

Prime factors of 41596 are 2, 10399. Prime factorization of 41596 in exponential form is:

41596 = 2² × 10399¹

Step-2: Prime Factorization of 41616

Prime factors of 41616 are 2, 3, 17. Prime factorization of 41616 in exponential form is:

41616 = 2⁴ × 3² × 17²

Step-3: Factors of 41596

List of positive integer factors of 41596 that divides 41596 without a remainder.

1, 2, 4, 10399, 20798

Step-4: Factors of 41616

List of positive integer factors of 41616 that divides 41596 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 289, 306, 408, 578, 612, 816, 867, 1156, 1224, 1734, 2312, 2448, 2601, 3468, 4624, 5202, 6936, 10404, 13872, 20808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41596 and 41616. The biggest common factor number is the GCF number.
So the greatest common factor 41596 and 41616 is 4.

Also check out the Least Common Multiple of 41596 and 41616