What is the Greatest Common Factor of 41052 and 41070?

Greatest common factor (GCF) of 41052 and 41070 is 6.

GCF(41052,41070) = 6

We will now calculate the prime factors of 41052 and 41070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41052 and 41070.

How to find the GCF of 41052 and 41070?

We will first find the prime factorization of 41052 and 41070. After we will calculate the factors of 41052 and 41070 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 41070

Prime factors of 41070 are 2, 3, 5, 37. Prime factorization of 41070 in exponential form is:

41070 = 2¹ × 3¹ × 5¹ × 37²

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 41070

List of positive integer factors of 41070 that divides 41052 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110, 1369, 2738, 4107, 6845, 8214, 13690, 20535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41052 and 41070. The biggest common factor number is the GCF number.
So the greatest common factor 41052 and 41070 is 6.

Also check out the Least Common Multiple of 41052 and 41070