What is the Greatest Common Factor of 41469 and 41484?

Greatest common factor (GCF) of 41469 and 41484 is 3.

GCF(41469,41484) = 3

We will now calculate the prime factors of 41469 and 41484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41469 and 41484.

How to find the GCF of 41469 and 41484?

We will first find the prime factorization of 41469 and 41484. After we will calculate the factors of 41469 and 41484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41484

Prime factors of 41484 are 2, 3, 3457. Prime factorization of 41484 in exponential form is:

41484 = 2² × 3¹ × 3457¹

Step-3: Factors of 41469

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

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

Step-4: Factors of 41484

List of positive integer factors of 41484 that divides 41469 without a remainder.

1, 2, 3, 4, 6, 12, 3457, 6914, 10371, 13828, 20742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41469 and 41484. The biggest common factor number is the GCF number.
So the greatest common factor 41469 and 41484 is 3.

Also check out the Least Common Multiple of 41469 and 41484