What is the Greatest Common Factor of 41340 and 41349?

Greatest common factor (GCF) of 41340 and 41349 is 3.

GCF(41340,41349) = 3

We will now calculate the prime factors of 41340 and 41349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41340 and 41349.

How to find the GCF of 41340 and 41349?

We will first find the prime factorization of 41340 and 41349. After we will calculate the factors of 41340 and 41349 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 41349

Prime factors of 41349 are 3, 7, 11, 179. Prime factorization of 41349 in exponential form is:

41349 = 3¹ × 7¹ × 11¹ × 179¹

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 41349

List of positive integer factors of 41349 that divides 41340 without a remainder.

1, 3, 7, 11, 21, 33, 77, 179, 231, 537, 1253, 1969, 3759, 5907, 13783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41340 and 41349. The biggest common factor number is the GCF number.
So the greatest common factor 41340 and 41349 is 3.

Also check out the Least Common Multiple of 41340 and 41349