What is the Greatest Common Factor of 41052 and 41067?

Greatest common factor (GCF) of 41052 and 41067 is 3.

GCF(41052,41067) = 3

We will now calculate the prime factors of 41052 and 41067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41052 and 41067.

How to find the GCF of 41052 and 41067?

We will first find the prime factorization of 41052 and 41067. After we will calculate the factors of 41052 and 41067 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 41067

Prime factors of 41067 are 3, 13. Prime factorization of 41067 in exponential form is:

41067 = 3⁵ × 13²

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 41067

List of positive integer factors of 41067 that divides 41052 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 169, 243, 351, 507, 1053, 1521, 3159, 4563, 13689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41052 and 41067. The biggest common factor number is the GCF number.
So the greatest common factor 41052 and 41067 is 3.

Also check out the Least Common Multiple of 41052 and 41067