What is the Greatest Common Factor of 41599 and 41616?

Greatest common factor (GCF) of 41599 and 41616 is 17.

GCF(41599,41616) = 17

We will now calculate the prime factors of 41599 and 41616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41599 and 41616.

How to find the GCF of 41599 and 41616?

We will first find the prime factorization of 41599 and 41616. After we will calculate the factors of 41599 and 41616 and find the biggest common factor number .

Step-1: Prime Factorization of 41599

Prime factors of 41599 are 17, 2447. Prime factorization of 41599 in exponential form is:

41599 = 17¹ × 2447¹

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 41599

List of positive integer factors of 41599 that divides 41599 without a remainder.

1, 17, 2447

Step-4: Factors of 41616

List of positive integer factors of 41616 that divides 41599 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 41599 and 41616. The biggest common factor number is the GCF number.
So the greatest common factor 41599 and 41616 is 17.

Also check out the Least Common Multiple of 41599 and 41616