What is the Greatest Common Factor of 41289 and 41307?

Greatest common factor (GCF) of 41289 and 41307 is 3.

GCF(41289,41307) = 3

We will now calculate the prime factors of 41289 and 41307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41289 and 41307.

How to find the GCF of 41289 and 41307?

We will first find the prime factorization of 41289 and 41307. After we will calculate the factors of 41289 and 41307 and find the biggest common factor number .

Step-1: Prime Factorization of 41289

Prime factors of 41289 are 3, 13763. Prime factorization of 41289 in exponential form is:

41289 = 3¹ × 13763¹

Step-2: Prime Factorization of 41307

Prime factors of 41307 are 3, 7, 281. Prime factorization of 41307 in exponential form is:

41307 = 3¹ × 7² × 281¹

Step-3: Factors of 41289

List of positive integer factors of 41289 that divides 41289 without a remainder.

1, 3, 13763

Step-4: Factors of 41307

List of positive integer factors of 41307 that divides 41289 without a remainder.

1, 3, 7, 21, 49, 147, 281, 843, 1967, 5901, 13769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41289 and 41307. The biggest common factor number is the GCF number.
So the greatest common factor 41289 and 41307 is 3.

Also check out the Least Common Multiple of 41289 and 41307