What is the Greatest Common Factor of 41664 and 41671?

Greatest common factor (GCF) of 41664 and 41671 is 7.

GCF(41664,41671) = 7

We will now calculate the prime factors of 41664 and 41671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41664 and 41671.

How to find the GCF of 41664 and 41671?

We will first find the prime factorization of 41664 and 41671. After we will calculate the factors of 41664 and 41671 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 41671

Prime factors of 41671 are 7, 5953. Prime factorization of 41671 in exponential form is:

41671 = 7¹ × 5953¹

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 41671

List of positive integer factors of 41671 that divides 41664 without a remainder.

1, 7, 5953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41664 and 41671. The biggest common factor number is the GCF number.
So the greatest common factor 41664 and 41671 is 7.

Also check out the Least Common Multiple of 41664 and 41671