What is the Greatest Common Factor of 41644 and 41664?

Greatest common factor (GCF) of 41644 and 41664 is 4.

GCF(41644,41664) = 4

We will now calculate the prime factors of 41644 and 41664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41644 and 41664.

How to find the GCF of 41644 and 41664?

We will first find the prime factorization of 41644 and 41664. After we will calculate the factors of 41644 and 41664 and find the biggest common factor number .

Step-1: Prime Factorization of 41644

Prime factors of 41644 are 2, 29, 359. Prime factorization of 41644 in exponential form is:

41644 = 2² × 29¹ × 359¹

Step-2: 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-3: Factors of 41644

List of positive integer factors of 41644 that divides 41644 without a remainder.

1, 2, 4, 29, 58, 116, 359, 718, 1436, 10411, 20822

Step-4: Factors of 41664

List of positive integer factors of 41664 that divides 41644 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41644 and 41664. The biggest common factor number is the GCF number.
So the greatest common factor 41644 and 41664 is 4.

Also check out the Least Common Multiple of 41644 and 41664