What is the Greatest Common Factor of 41616 and 41633?

Greatest common factor (GCF) of 41616 and 41633 is 17.

GCF(41616,41633) = 17

We will now calculate the prime factors of 41616 and 41633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41616 and 41633.

How to find the GCF of 41616 and 41633?

We will first find the prime factorization of 41616 and 41633. After we will calculate the factors of 41616 and 41633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41633

Prime factors of 41633 are 17, 31, 79. Prime factorization of 41633 in exponential form is:

41633 = 17¹ × 31¹ × 79¹

Step-3: Factors of 41616

List of positive integer factors of 41616 that divides 41616 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

Step-4: Factors of 41633

List of positive integer factors of 41633 that divides 41616 without a remainder.

1, 17, 31, 79, 527, 1343, 2449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41616 and 41633. The biggest common factor number is the GCF number.
So the greatest common factor 41616 and 41633 is 17.

Also check out the Least Common Multiple of 41616 and 41633