What is the Greatest Common Factor of 41604 and 41616?

Greatest common factor (GCF) of 41604 and 41616 is 12.

GCF(41604,41616) = 12

We will now calculate the prime factors of 41604 and 41616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41604 and 41616.

How to find the GCF of 41604 and 41616?

We will first find the prime factorization of 41604 and 41616. After we will calculate the factors of 41604 and 41616 and find the biggest common factor number .

Step-1: Prime Factorization of 41604

Prime factors of 41604 are 2, 3, 3467. Prime factorization of 41604 in exponential form is:

41604 = 2² × 3¹ × 3467¹

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 41604

List of positive integer factors of 41604 that divides 41604 without a remainder.

1, 2, 3, 4, 6, 12, 3467, 6934, 10401, 13868, 20802

Step-4: Factors of 41616

List of positive integer factors of 41616 that divides 41604 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 41604 and 41616. The biggest common factor number is the GCF number.
So the greatest common factor 41604 and 41616 is 12.

Also check out the Least Common Multiple of 41604 and 41616