What is the Greatest Common Factor of 41610 and 41625?

Greatest common factor (GCF) of 41610 and 41625 is 15.

GCF(41610,41625) = 15

We will now calculate the prime factors of 41610 and 41625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41610 and 41625.

How to find the GCF of 41610 and 41625?

We will first find the prime factorization of 41610 and 41625. After we will calculate the factors of 41610 and 41625 and find the biggest common factor number .

Step-1: Prime Factorization of 41610

Prime factors of 41610 are 2, 3, 5, 19, 73. Prime factorization of 41610 in exponential form is:

41610 = 2¹ × 3¹ × 5¹ × 19¹ × 73¹

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 41610

List of positive integer factors of 41610 that divides 41610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 73, 95, 114, 146, 190, 219, 285, 365, 438, 570, 730, 1095, 1387, 2190, 2774, 4161, 6935, 8322, 13870, 20805

Step-4: Factors of 41625

List of positive integer factors of 41625 that divides 41610 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 41610 and 41625. The biggest common factor number is the GCF number.
So the greatest common factor 41610 and 41625 is 15.

Also check out the Least Common Multiple of 41610 and 41625