What is the Greatest Common Factor of 41074 and 41085?

Greatest common factor (GCF) of 41074 and 41085 is 11.

GCF(41074,41085) = 11

We will now calculate the prime factors of 41074 and 41085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41074 and 41085.

How to find the GCF of 41074 and 41085?

We will first find the prime factorization of 41074 and 41085. After we will calculate the factors of 41074 and 41085 and find the biggest common factor number .

Step-1: Prime Factorization of 41074

Prime factors of 41074 are 2, 11, 1867. Prime factorization of 41074 in exponential form is:

41074 = 2¹ × 11¹ × 1867¹

Step-2: 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-3: Factors of 41074

List of positive integer factors of 41074 that divides 41074 without a remainder.

1, 2, 11, 22, 1867, 3734, 20537

Step-4: Factors of 41085

List of positive integer factors of 41085 that divides 41074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41074 and 41085. The biggest common factor number is the GCF number.
So the greatest common factor 41074 and 41085 is 11.

Also check out the Least Common Multiple of 41074 and 41085