What is the Greatest Common Factor of 41784 and 41796?

Greatest common factor (GCF) of 41784 and 41796 is 12.

GCF(41784,41796) = 12

We will now calculate the prime factors of 41784 and 41796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41784 and 41796.

How to find the GCF of 41784 and 41796?

We will first find the prime factorization of 41784 and 41796. After we will calculate the factors of 41784 and 41796 and find the biggest common factor number .

Step-1: Prime Factorization of 41784

Prime factors of 41784 are 2, 3, 1741. Prime factorization of 41784 in exponential form is:

41784 = 2³ × 3¹ × 1741¹

Step-2: Prime Factorization of 41796

Prime factors of 41796 are 2, 3, 43. Prime factorization of 41796 in exponential form is:

41796 = 2² × 3⁵ × 43¹

Step-3: Factors of 41784

List of positive integer factors of 41784 that divides 41784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1741, 3482, 5223, 6964, 10446, 13928, 20892

Step-4: Factors of 41796

List of positive integer factors of 41796 that divides 41784 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 81, 86, 108, 129, 162, 172, 243, 258, 324, 387, 486, 516, 774, 972, 1161, 1548, 2322, 3483, 4644, 6966, 10449, 13932, 20898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41784 and 41796. The biggest common factor number is the GCF number.
So the greatest common factor 41784 and 41796 is 12.

Also check out the Least Common Multiple of 41784 and 41796