What is the Greatest Common Factor of 41040 and 41049?

Greatest common factor (GCF) of 41040 and 41049 is 9.

GCF(41040,41049) = 9

We will now calculate the prime factors of 41040 and 41049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41040 and 41049.

How to find the GCF of 41040 and 41049?

We will first find the prime factorization of 41040 and 41049. After we will calculate the factors of 41040 and 41049 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 41049

Prime factors of 41049 are 3, 4561. Prime factorization of 41049 in exponential form is:

41049 = 3² × 4561¹

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 41049

List of positive integer factors of 41049 that divides 41040 without a remainder.

1, 3, 9, 4561, 13683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41040 and 41049. The biggest common factor number is the GCF number.
So the greatest common factor 41040 and 41049 is 9.

Also check out the Least Common Multiple of 41040 and 41049