What is the Greatest Common Factor of 41085 and 41100?

Greatest common factor (GCF) of 41085 and 41100 is 15.

GCF(41085,41100) = 15

We will now calculate the prime factors of 41085 and 41100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41085 and 41100.

How to find the GCF of 41085 and 41100?

We will first find the prime factorization of 41085 and 41100. After we will calculate the factors of 41085 and 41100 and find the biggest common factor number .

Step-1: Prime Factorization of 41085

Prime factors of 41085 are 3, 5, 11, 83. Prime factorization of 41085 in exponential form is:

41085 = 3² × 5¹ × 11¹ × 83¹

Step-2: Prime Factorization of 41100

Prime factors of 41100 are 2, 3, 5, 137. Prime factorization of 41100 in exponential form is:

41100 = 2² × 3¹ × 5² × 137¹

Step-3: Factors of 41085

List of positive integer factors of 41085 that divides 41085 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 83, 99, 165, 249, 415, 495, 747, 913, 1245, 2739, 3735, 4565, 8217, 13695

Step-4: Factors of 41100

List of positive integer factors of 41100 that divides 41085 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 137, 150, 274, 300, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 3425, 4110, 6850, 8220, 10275, 13700, 20550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41085 and 41100. The biggest common factor number is the GCF number.
So the greatest common factor 41085 and 41100 is 15.

Also check out the Least Common Multiple of 41085 and 41100