What is the Greatest Common Factor of 41760 and 41765?

Greatest common factor (GCF) of 41760 and 41765 is 5.

GCF(41760,41765) = 5

We will now calculate the prime factors of 41760 and 41765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41760 and 41765.

How to find the GCF of 41760 and 41765?

We will first find the prime factorization of 41760 and 41765. After we will calculate the factors of 41760 and 41765 and find the biggest common factor number .

Step-1: Prime Factorization of 41760

Prime factors of 41760 are 2, 3, 5, 29. Prime factorization of 41760 in exponential form is:

41760 = 2⁵ × 3² × 5¹ × 29¹

Step-2: Prime Factorization of 41765

Prime factors of 41765 are 5, 8353. Prime factorization of 41765 in exponential form is:

41765 = 5¹ × 8353¹

Step-3: Factors of 41760

List of positive integer factors of 41760 that divides 41760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 29, 30, 32, 36, 40, 45, 48, 58, 60, 72, 80, 87, 90, 96, 116, 120, 144, 145, 160, 174, 180, 232, 240, 261, 288, 290, 348, 360, 435, 464, 480, 522, 580, 696, 720, 870, 928, 1044, 1160, 1305, 1392, 1440, 1740, 2088, 2320, 2610, 2784, 3480, 4176, 4640, 5220, 6960, 8352, 10440, 13920, 20880

Step-4: Factors of 41765

List of positive integer factors of 41765 that divides 41760 without a remainder.

1, 5, 8353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41760 and 41765. The biggest common factor number is the GCF number.
So the greatest common factor 41760 and 41765 is 5.

Also check out the Least Common Multiple of 41760 and 41765