What is the Greatest Common Factor of 41481 and 41492?

Greatest common factor (GCF) of 41481 and 41492 is 11.

GCF(41481,41492) = 11

We will now calculate the prime factors of 41481 and 41492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41481 and 41492.

How to find the GCF of 41481 and 41492?

We will first find the prime factorization of 41481 and 41492. After we will calculate the factors of 41481 and 41492 and find the biggest common factor number .

Step-1: Prime Factorization of 41481

Prime factors of 41481 are 3, 11, 419. Prime factorization of 41481 in exponential form is:

41481 = 3² × 11¹ × 419¹

Step-2: Prime Factorization of 41492

Prime factors of 41492 are 2, 11, 23, 41. Prime factorization of 41492 in exponential form is:

41492 = 2² × 11¹ × 23¹ × 41¹

Step-3: Factors of 41481

List of positive integer factors of 41481 that divides 41481 without a remainder.

1, 3, 9, 11, 33, 99, 419, 1257, 3771, 4609, 13827

Step-4: Factors of 41492

List of positive integer factors of 41492 that divides 41481 without a remainder.

1, 2, 4, 11, 22, 23, 41, 44, 46, 82, 92, 164, 253, 451, 506, 902, 943, 1012, 1804, 1886, 3772, 10373, 20746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41481 and 41492. The biggest common factor number is the GCF number.
So the greatest common factor 41481 and 41492 is 11.

Also check out the Least Common Multiple of 41481 and 41492