What is the Greatest Common Factor of 41340 and 41357?

Greatest common factor (GCF) of 41340 and 41357 is 1.

GCF(41340,41357) = 1

We will now calculate the prime factors of 41340 and 41357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41340 and 41357.

How to find the GCF of 41340 and 41357?

We will first find the prime factorization of 41340 and 41357. After we will calculate the factors of 41340 and 41357 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 41357

Prime factors of 41357 are 41357. Prime factorization of 41357 in exponential form is:

41357 = 41357¹

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 41357

List of positive integer factors of 41357 that divides 41340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41340 and 41357. The biggest common factor number is the GCF number.
So the greatest common factor 41340 and 41357 is 1.

Also check out the Least Common Multiple of 41340 and 41357