What is the Greatest Common Factor of 41625 and 41634?

Greatest common factor (GCF) of 41625 and 41634 is 9.

GCF(41625,41634) = 9

We will now calculate the prime factors of 41625 and 41634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41625 and 41634.

How to find the GCF of 41625 and 41634?

We will first find the prime factorization of 41625 and 41634. After we will calculate the factors of 41625 and 41634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41634

Prime factors of 41634 are 2, 3, 257. Prime factorization of 41634 in exponential form is:

41634 = 2¹ × 3⁴ × 257¹

Step-3: Factors of 41625

List of positive integer factors of 41625 that divides 41625 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

Step-4: Factors of 41634

List of positive integer factors of 41634 that divides 41625 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 257, 514, 771, 1542, 2313, 4626, 6939, 13878, 20817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41625 and 41634. The biggest common factor number is the GCF number.
So the greatest common factor 41625 and 41634 is 9.

Also check out the Least Common Multiple of 41625 and 41634