What is the Greatest Common Factor of 41334 and 41349?

Greatest common factor (GCF) of 41334 and 41349 is 3.

GCF(41334,41349) = 3

We will now calculate the prime factors of 41334 and 41349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41334 and 41349.

How to find the GCF of 41334 and 41349?

We will first find the prime factorization of 41334 and 41349. After we will calculate the factors of 41334 and 41349 and find the biggest common factor number .

Step-1: Prime Factorization of 41334

Prime factors of 41334 are 2, 3, 83. Prime factorization of 41334 in exponential form is:

41334 = 2¹ × 3¹ × 83²

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 41334

List of positive integer factors of 41334 that divides 41334 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498, 6889, 13778, 20667

Step-4: Factors of 41349

List of positive integer factors of 41349 that divides 41334 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 41334 and 41349. The biggest common factor number is the GCF number.
So the greatest common factor 41334 and 41349 is 3.

Also check out the Least Common Multiple of 41334 and 41349