What is the Greatest Common Factor of 41052 and 41064?

Greatest common factor (GCF) of 41052 and 41064 is 12.

GCF(41052,41064) = 12

We will now calculate the prime factors of 41052 and 41064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41052 and 41064.

How to find the GCF of 41052 and 41064?

We will first find the prime factorization of 41052 and 41064. After we will calculate the factors of 41052 and 41064 and find the biggest common factor number .

Step-1: Prime Factorization of 41052

Prime factors of 41052 are 2, 3, 11, 311. Prime factorization of 41052 in exponential form is:

41052 = 2² × 3¹ × 11¹ × 311¹

Step-2: Prime Factorization of 41064

Prime factors of 41064 are 2, 3, 29, 59. Prime factorization of 41064 in exponential form is:

41064 = 2³ × 3¹ × 29¹ × 59¹

Step-3: Factors of 41052

List of positive integer factors of 41052 that divides 41052 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 311, 622, 933, 1244, 1866, 3421, 3732, 6842, 10263, 13684, 20526

Step-4: Factors of 41064

List of positive integer factors of 41064 that divides 41052 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 59, 87, 116, 118, 174, 177, 232, 236, 348, 354, 472, 696, 708, 1416, 1711, 3422, 5133, 6844, 10266, 13688, 20532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41052 and 41064. The biggest common factor number is the GCF number.
So the greatest common factor 41052 and 41064 is 12.

Also check out the Least Common Multiple of 41052 and 41064