What is the Greatest Common Factor of 41463 and 41469?

Greatest common factor (GCF) of 41463 and 41469 is 3.

GCF(41463,41469) = 3

We will now calculate the prime factors of 41463 and 41469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41463 and 41469.

How to find the GCF of 41463 and 41469?

We will first find the prime factorization of 41463 and 41469. After we will calculate the factors of 41463 and 41469 and find the biggest common factor number .

Step-1: Prime Factorization of 41463

Prime factors of 41463 are 3, 17, 271. Prime factorization of 41463 in exponential form is:

41463 = 3² × 17¹ × 271¹

Step-2: Prime Factorization of 41469

Prime factors of 41469 are 3, 23, 601. Prime factorization of 41469 in exponential form is:

41469 = 3¹ × 23¹ × 601¹

Step-3: Factors of 41463

List of positive integer factors of 41463 that divides 41463 without a remainder.

1, 3, 9, 17, 51, 153, 271, 813, 2439, 4607, 13821

Step-4: Factors of 41469

List of positive integer factors of 41469 that divides 41463 without a remainder.

1, 3, 23, 69, 601, 1803, 13823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41463 and 41469. The biggest common factor number is the GCF number.
So the greatest common factor 41463 and 41469 is 3.

Also check out the Least Common Multiple of 41463 and 41469