What is the Greatest Common Factor of 41085 and 41097?

Greatest common factor (GCF) of 41085 and 41097 is 3.

GCF(41085,41097) = 3

We will now calculate the prime factors of 41085 and 41097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41085 and 41097.

How to find the GCF of 41085 and 41097?

We will first find the prime factorization of 41085 and 41097. After we will calculate the factors of 41085 and 41097 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 41097

Prime factors of 41097 are 3, 7, 19, 103. Prime factorization of 41097 in exponential form is:

41097 = 3¹ × 7¹ × 19¹ × 103¹

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 41097

List of positive integer factors of 41097 that divides 41085 without a remainder.

1, 3, 7, 19, 21, 57, 103, 133, 309, 399, 721, 1957, 2163, 5871, 13699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41085 and 41097. The biggest common factor number is the GCF number.
So the greatest common factor 41085 and 41097 is 3.

Also check out the Least Common Multiple of 41085 and 41097