What is the Greatest Common Factor of 41040 and 41058?

Greatest common factor (GCF) of 41040 and 41058 is 18.

GCF(41040,41058) = 18

We will now calculate the prime factors of 41040 and 41058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41040 and 41058.

How to find the GCF of 41040 and 41058?

We will first find the prime factorization of 41040 and 41058. After we will calculate the factors of 41040 and 41058 and find the biggest common factor number .

Step-1: Prime Factorization of 41040

Prime factors of 41040 are 2, 3, 5, 19. Prime factorization of 41040 in exponential form is:

41040 = 2⁴ × 3³ × 5¹ × 19¹

Step-2: Prime Factorization of 41058

Prime factors of 41058 are 2, 3, 2281. Prime factorization of 41058 in exponential form is:

41058 = 2¹ × 3² × 2281¹

Step-3: Factors of 41040

List of positive integer factors of 41040 that divides 41040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 108, 114, 120, 135, 144, 152, 171, 180, 190, 216, 228, 240, 270, 285, 304, 342, 360, 380, 432, 456, 513, 540, 570, 684, 720, 760, 855, 912, 1026, 1080, 1140, 1368, 1520, 1710, 2052, 2160, 2280, 2565, 2736, 3420, 4104, 4560, 5130, 6840, 8208, 10260, 13680, 20520

Step-4: Factors of 41058

List of positive integer factors of 41058 that divides 41040 without a remainder.

1, 2, 3, 6, 9, 18, 2281, 4562, 6843, 13686, 20529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41040 and 41058. The biggest common factor number is the GCF number.
So the greatest common factor 41040 and 41058 is 18.

Also check out the Least Common Multiple of 41040 and 41058