What is the Greatest Common Factor of 41340 and 41345?

Greatest common factor (GCF) of 41340 and 41345 is 5.

GCF(41340,41345) = 5

We will now calculate the prime factors of 41340 and 41345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41340 and 41345.

How to find the GCF of 41340 and 41345?

We will first find the prime factorization of 41340 and 41345. After we will calculate the factors of 41340 and 41345 and find the biggest common factor number .

Step-1: Prime Factorization of 41340

Prime factors of 41340 are 2, 3, 5, 13, 53. Prime factorization of 41340 in exponential form is:

41340 = 2² × 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 41345

Prime factors of 41345 are 5, 8269. Prime factorization of 41345 in exponential form is:

41345 = 5¹ × 8269¹

Step-3: Factors of 41340

List of positive integer factors of 41340 that divides 41340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 106, 130, 156, 159, 195, 212, 260, 265, 318, 390, 530, 636, 689, 780, 795, 1060, 1378, 1590, 2067, 2756, 3180, 3445, 4134, 6890, 8268, 10335, 13780, 20670

Step-4: Factors of 41345

List of positive integer factors of 41345 that divides 41340 without a remainder.

1, 5, 8269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41340 and 41345. The biggest common factor number is the GCF number.
So the greatest common factor 41340 and 41345 is 5.

Also check out the Least Common Multiple of 41340 and 41345