What is the Greatest Common Factor of 41946 and 41952?

Greatest common factor (GCF) of 41946 and 41952 is 6.

GCF(41946,41952) = 6

We will now calculate the prime factors of 41946 and 41952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41946 and 41952.

How to find the GCF of 41946 and 41952?

We will first find the prime factorization of 41946 and 41952. After we will calculate the factors of 41946 and 41952 and find the biggest common factor number .

Step-1: Prime Factorization of 41946

Prime factors of 41946 are 2, 3, 6991. Prime factorization of 41946 in exponential form is:

41946 = 2¹ × 3¹ × 6991¹

Step-2: 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-3: Factors of 41946

List of positive integer factors of 41946 that divides 41946 without a remainder.

1, 2, 3, 6, 6991, 13982, 20973

Step-4: Factors of 41952

List of positive integer factors of 41952 that divides 41946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41946 and 41952. The biggest common factor number is the GCF number.
So the greatest common factor 41946 and 41952 is 6.

Also check out the Least Common Multiple of 41946 and 41952