What is the Greatest Common Factor of 41260 and 41280?

Greatest common factor (GCF) of 41260 and 41280 is 20.

GCF(41260,41280) = 20

We will now calculate the prime factors of 41260 and 41280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41260 and 41280.

How to find the GCF of 41260 and 41280?

We will first find the prime factorization of 41260 and 41280. After we will calculate the factors of 41260 and 41280 and find the biggest common factor number .

Step-1: Prime Factorization of 41260

Prime factors of 41260 are 2, 5, 2063. Prime factorization of 41260 in exponential form is:

41260 = 2² × 5¹ × 2063¹

Step-2: Prime Factorization of 41280

Prime factors of 41280 are 2, 3, 5, 43. Prime factorization of 41280 in exponential form is:

41280 = 2⁶ × 3¹ × 5¹ × 43¹

Step-3: Factors of 41260

List of positive integer factors of 41260 that divides 41260 without a remainder.

1, 2, 4, 5, 10, 20, 2063, 4126, 8252, 10315, 20630

Step-4: Factors of 41280

List of positive integer factors of 41280 that divides 41260 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 43, 48, 60, 64, 80, 86, 96, 120, 129, 160, 172, 192, 215, 240, 258, 320, 344, 430, 480, 516, 645, 688, 860, 960, 1032, 1290, 1376, 1720, 2064, 2580, 2752, 3440, 4128, 5160, 6880, 8256, 10320, 13760, 20640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41260 and 41280. The biggest common factor number is the GCF number.
So the greatest common factor 41260 and 41280 is 20.

Also check out the Least Common Multiple of 41260 and 41280