What is the Greatest Common Factor of 41319 and 41337?

Greatest common factor (GCF) of 41319 and 41337 is 9.

GCF(41319,41337) = 9

We will now calculate the prime factors of 41319 and 41337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41319 and 41337.

How to find the GCF of 41319 and 41337?

We will first find the prime factorization of 41319 and 41337. After we will calculate the factors of 41319 and 41337 and find the biggest common factor number .

Step-1: Prime Factorization of 41319

Prime factors of 41319 are 3, 4591. Prime factorization of 41319 in exponential form is:

41319 = 3² × 4591¹

Step-2: Prime Factorization of 41337

Prime factors of 41337 are 3, 1531. Prime factorization of 41337 in exponential form is:

41337 = 3³ × 1531¹

Step-3: Factors of 41319

List of positive integer factors of 41319 that divides 41319 without a remainder.

1, 3, 9, 4591, 13773

Step-4: Factors of 41337

List of positive integer factors of 41337 that divides 41319 without a remainder.

1, 3, 9, 27, 1531, 4593, 13779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41319 and 41337. The biggest common factor number is the GCF number.
So the greatest common factor 41319 and 41337 is 9.

Also check out the Least Common Multiple of 41319 and 41337