What is the Greatest Common Factor of 41964 and 41968?

Greatest common factor (GCF) of 41964 and 41968 is 4.

GCF(41964,41968) = 4

We will now calculate the prime factors of 41964 and 41968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41964 and 41968.

How to find the GCF of 41964 and 41968?

We will first find the prime factorization of 41964 and 41968. After we will calculate the factors of 41964 and 41968 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 41968

Prime factors of 41968 are 2, 43, 61. Prime factorization of 41968 in exponential form is:

41968 = 2⁴ × 43¹ × 61¹

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 41968

List of positive integer factors of 41968 that divides 41964 without a remainder.

1, 2, 4, 8, 16, 43, 61, 86, 122, 172, 244, 344, 488, 688, 976, 2623, 5246, 10492, 20984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41964 and 41968. The biggest common factor number is the GCF number.
So the greatest common factor 41964 and 41968 is 4.

Also check out the Least Common Multiple of 41964 and 41968