What is the Greatest Common Factor of 41964 and 41974?

Greatest common factor (GCF) of 41964 and 41974 is 2.

GCF(41964,41974) = 2

We will now calculate the prime factors of 41964 and 41974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41964 and 41974.

How to find the GCF of 41964 and 41974?

We will first find the prime factorization of 41964 and 41974. After we will calculate the factors of 41964 and 41974 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 41974

Prime factors of 41974 are 2, 31, 677. Prime factorization of 41974 in exponential form is:

41974 = 2¹ × 31¹ × 677¹

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 41974

List of positive integer factors of 41974 that divides 41964 without a remainder.

1, 2, 31, 62, 677, 1354, 20987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41964 and 41974. The biggest common factor number is the GCF number.
So the greatest common factor 41964 and 41974 is 2.

Also check out the Least Common Multiple of 41964 and 41974