What is the Greatest Common Factor of 41384 and 41398?

Greatest common factor (GCF) of 41384 and 41398 is 14.

GCF(41384,41398) = 14

We will now calculate the prime factors of 41384 and 41398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41384 and 41398.

How to find the GCF of 41384 and 41398?

We will first find the prime factorization of 41384 and 41398. After we will calculate the factors of 41384 and 41398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41398

Prime factors of 41398 are 2, 7, 2957. Prime factorization of 41398 in exponential form is:

41398 = 2¹ × 7¹ × 2957¹

Step-3: Factors of 41384

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

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

Step-4: Factors of 41398

List of positive integer factors of 41398 that divides 41384 without a remainder.

1, 2, 7, 14, 2957, 5914, 20699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41384 and 41398. The biggest common factor number is the GCF number.
So the greatest common factor 41384 and 41398 is 14.

Also check out the Least Common Multiple of 41384 and 41398