What is the Greatest Common Factor of 41952 and 41964?

Greatest common factor (GCF) of 41952 and 41964 is 12.

GCF(41952,41964) = 12

We will now calculate the prime factors of 41952 and 41964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41952 and 41964.

How to find the GCF of 41952 and 41964?

We will first find the prime factorization of 41952 and 41964. After we will calculate the factors of 41952 and 41964 and find the biggest common factor number .

Step-1: Prime Factorization of 41952

Prime factors of 41952 are 2, 3, 19, 23. Prime factorization of 41952 in exponential form is:

41952 = 2⁵ × 3¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 41952

List of positive integer factors of 41952 that divides 41952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 32, 38, 46, 48, 57, 69, 76, 92, 96, 114, 138, 152, 184, 228, 276, 304, 368, 437, 456, 552, 608, 736, 874, 912, 1104, 1311, 1748, 1824, 2208, 2622, 3496, 5244, 6992, 10488, 13984, 20976

Step-4: Factors of 41964

List of positive integer factors of 41964 that divides 41952 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41952 and 41964. The biggest common factor number is the GCF number.
So the greatest common factor 41952 and 41964 is 12.

Also check out the Least Common Multiple of 41952 and 41964