What is the Greatest Common Factor of 41964 and 41976?

Greatest common factor (GCF) of 41964 and 41976 is 12.

GCF(41964,41976) = 12

We will now calculate the prime factors of 41964 and 41976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41964 and 41976.

How to find the GCF of 41964 and 41976?

We will first find the prime factorization of 41964 and 41976. After we will calculate the factors of 41964 and 41976 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 41976

Prime factors of 41976 are 2, 3, 11, 53. Prime factorization of 41976 in exponential form is:

41976 = 2³ × 3² × 11¹ × 53¹

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 41976

List of positive integer factors of 41976 that divides 41964 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 53, 66, 72, 88, 99, 106, 132, 159, 198, 212, 264, 318, 396, 424, 477, 583, 636, 792, 954, 1166, 1272, 1749, 1908, 2332, 3498, 3816, 4664, 5247, 6996, 10494, 13992, 20988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41964 and 41976. The biggest common factor number is the GCF number.
So the greatest common factor 41964 and 41976 is 12.

Also check out the Least Common Multiple of 41964 and 41976