What is the Greatest Common Factor of 41364 and 41384?

Greatest common factor (GCF) of 41364 and 41384 is 4.

GCF(41364,41384) = 4

We will now calculate the prime factors of 41364 and 41384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41364 and 41384.

How to find the GCF of 41364 and 41384?

We will first find the prime factorization of 41364 and 41384. After we will calculate the factors of 41364 and 41384 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41384

Prime factors of 41384 are 2, 7, 739. Prime factorization of 41384 in exponential form is:

41384 = 2³ × 7¹ × 739¹

Step-3: Factors of 41364

List of positive integer factors of 41364 that divides 41364 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

Step-4: Factors of 41384

List of positive integer factors of 41384 that divides 41364 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 739, 1478, 2956, 5173, 5912, 10346, 20692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41364 and 41384. The biggest common factor number is the GCF number.
So the greatest common factor 41364 and 41384 is 4.

Also check out the Least Common Multiple of 41364 and 41384