What is the Greatest Common Factor of 41964 and 41973?

Greatest common factor (GCF) of 41964 and 41973 is 3.

GCF(41964,41973) = 3

We will now calculate the prime factors of 41964 and 41973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41964 and 41973.

How to find the GCF of 41964 and 41973?

We will first find the prime factorization of 41964 and 41973. After we will calculate the factors of 41964 and 41973 and find the biggest common factor number .

Step-1: Prime Factorization of 41964

Prime factors of 41964 are 2, 3, 13, 269. Prime factorization of 41964 in exponential form is:

41964 = 2² × 3¹ × 13¹ × 269¹

Step-2: Prime Factorization of 41973

Prime factors of 41973 are 3, 17, 823. Prime factorization of 41973 in exponential form is:

41973 = 3¹ × 17¹ × 823¹

Step-3: Factors of 41964

List of positive integer factors of 41964 that divides 41964 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 269, 538, 807, 1076, 1614, 3228, 3497, 6994, 10491, 13988, 20982

Step-4: Factors of 41973

List of positive integer factors of 41973 that divides 41964 without a remainder.

1, 3, 17, 51, 823, 2469, 13991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41964 and 41973. The biggest common factor number is the GCF number.
So the greatest common factor 41964 and 41973 is 3.

Also check out the Least Common Multiple of 41964 and 41973