What is the Greatest Common Factor of 41750 and 41760?

Greatest common factor (GCF) of 41750 and 41760 is 10.

GCF(41750,41760) = 10

We will now calculate the prime factors of 41750 and 41760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41750 and 41760.

How to find the GCF of 41750 and 41760?

We will first find the prime factorization of 41750 and 41760. After we will calculate the factors of 41750 and 41760 and find the biggest common factor number .

Step-1: Prime Factorization of 41750

Prime factors of 41750 are 2, 5, 167. Prime factorization of 41750 in exponential form is:

41750 = 2¹ × 5³ × 167¹

Step-2: 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-3: Factors of 41750

List of positive integer factors of 41750 that divides 41750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 167, 250, 334, 835, 1670, 4175, 8350, 20875

Step-4: Factors of 41760

List of positive integer factors of 41760 that divides 41750 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41750 and 41760. The biggest common factor number is the GCF number.
So the greatest common factor 41750 and 41760 is 10.

Also check out the Least Common Multiple of 41750 and 41760