What is the Greatest Common Factor of 41664 and 41680?

Greatest common factor (GCF) of 41664 and 41680 is 16.

GCF(41664,41680) = 16

We will now calculate the prime factors of 41664 and 41680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41664 and 41680.

How to find the GCF of 41664 and 41680?

We will first find the prime factorization of 41664 and 41680. After we will calculate the factors of 41664 and 41680 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 41680

Prime factors of 41680 are 2, 5, 521. Prime factorization of 41680 in exponential form is:

41680 = 2⁴ × 5¹ × 521¹

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 41680

List of positive integer factors of 41680 that divides 41664 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 20840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41664 and 41680. The biggest common factor number is the GCF number.
So the greatest common factor 41664 and 41680 is 16.

Also check out the Least Common Multiple of 41664 and 41680