What is the Greatest Common Factor of 41753 and 41760?

Greatest common factor (GCF) of 41753 and 41760 is 1.

GCF(41753,41760) = 1

We will now calculate the prime factors of 41753 and 41760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41753 and 41760.

How to find the GCF of 41753 and 41760?

We will first find the prime factorization of 41753 and 41760. After we will calculate the factors of 41753 and 41760 and find the biggest common factor number .

Step-1: Prime Factorization of 41753

Prime factors of 41753 are 43, 971. Prime factorization of 41753 in exponential form is:

41753 = 43¹ × 971¹

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 41753

List of positive integer factors of 41753 that divides 41753 without a remainder.

1, 43, 971

Step-4: Factors of 41760

List of positive integer factors of 41760 that divides 41753 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 41753 and 41760. The biggest common factor number is the GCF number.
So the greatest common factor 41753 and 41760 is 1.

Also check out the Least Common Multiple of 41753 and 41760