What is the Greatest Common Factor of 41616 and 41625?

Greatest common factor (GCF) of 41616 and 41625 is 9.

GCF(41616,41625) = 9

We will now calculate the prime factors of 41616 and 41625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41616 and 41625.

How to find the GCF of 41616 and 41625?

We will first find the prime factorization of 41616 and 41625. After we will calculate the factors of 41616 and 41625 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 41625

Prime factors of 41625 are 3, 5, 37. Prime factorization of 41625 in exponential form is:

41625 = 3² × 5³ × 37¹

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 41625

List of positive integer factors of 41625 that divides 41616 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41616 and 41625. The biggest common factor number is the GCF number.
So the greatest common factor 41616 and 41625 is 9.

Also check out the Least Common Multiple of 41616 and 41625