What is the Greatest Common Factor of 41349 and 41364?

Greatest common factor (GCF) of 41349 and 41364 is 3.

GCF(41349,41364) = 3

We will now calculate the prime factors of 41349 and 41364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41349 and 41364.

How to find the GCF of 41349 and 41364?

We will first find the prime factorization of 41349 and 41364. After we will calculate the factors of 41349 and 41364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41364

Prime factors of 41364 are 2, 3, 383. Prime factorization of 41364 in exponential form is:

41364 = 2² × 3³ × 383¹

Step-3: Factors of 41349

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

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

Step-4: Factors of 41364

List of positive integer factors of 41364 that divides 41349 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 383, 766, 1149, 1532, 2298, 3447, 4596, 6894, 10341, 13788, 20682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41349 and 41364. The biggest common factor number is the GCF number.
So the greatest common factor 41349 and 41364 is 3.

Also check out the Least Common Multiple of 41349 and 41364