What is the Greatest Common Factor of 41029 and 41040?

Greatest common factor (GCF) of 41029 and 41040 is 1.

GCF(41029,41040) = 1

We will now calculate the prime factors of 41029 and 41040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41029 and 41040.

How to find the GCF of 41029 and 41040?

We will first find the prime factorization of 41029 and 41040. After we will calculate the factors of 41029 and 41040 and find the biggest common factor number .

Step-1: Prime Factorization of 41029

Prime factors of 41029 are 89, 461. Prime factorization of 41029 in exponential form is:

41029 = 89¹ × 461¹

Step-2: 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-3: Factors of 41029

List of positive integer factors of 41029 that divides 41029 without a remainder.

1, 89, 461

Step-4: Factors of 41040

List of positive integer factors of 41040 that divides 41029 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41029 and 41040. The biggest common factor number is the GCF number.
So the greatest common factor 41029 and 41040 is 1.

Also check out the Least Common Multiple of 41029 and 41040