What is the Greatest Common Factor of 41664 and 41674?

Greatest common factor (GCF) of 41664 and 41674 is 2.

GCF(41664,41674) = 2

We will now calculate the prime factors of 41664 and 41674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41664 and 41674.

How to find the GCF of 41664 and 41674?

We will first find the prime factorization of 41664 and 41674. After we will calculate the factors of 41664 and 41674 and find the biggest common factor number .

Step-1: Prime Factorization of 41664

Prime factors of 41664 are 2, 3, 7, 31. Prime factorization of 41664 in exponential form is:

41664 = 2⁶ × 3¹ × 7¹ × 31¹

Step-2: Prime Factorization of 41674

Prime factors of 41674 are 2, 67, 311. Prime factorization of 41674 in exponential form is:

41674 = 2¹ × 67¹ × 311¹

Step-3: Factors of 41664

List of positive integer factors of 41664 that divides 41664 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 32, 42, 48, 56, 62, 64, 84, 93, 96, 112, 124, 168, 186, 192, 217, 224, 248, 336, 372, 434, 448, 496, 651, 672, 744, 868, 992, 1302, 1344, 1488, 1736, 1984, 2604, 2976, 3472, 5208, 5952, 6944, 10416, 13888, 20832

Step-4: Factors of 41674

List of positive integer factors of 41674 that divides 41664 without a remainder.

1, 2, 67, 134, 311, 622, 20837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41664 and 41674. The biggest common factor number is the GCF number.
So the greatest common factor 41664 and 41674 is 2.

Also check out the Least Common Multiple of 41664 and 41674