What is the Greatest Common Factor of 41280 and 41299?

Greatest common factor (GCF) of 41280 and 41299 is 1.

GCF(41280,41299) = 1

We will now calculate the prime factors of 41280 and 41299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41280 and 41299.

How to find the GCF of 41280 and 41299?

We will first find the prime factorization of 41280 and 41299. After we will calculate the factors of 41280 and 41299 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41299

Prime factors of 41299 are 41299. Prime factorization of 41299 in exponential form is:

41299 = 41299¹

Step-3: Factors of 41280

List of positive integer factors of 41280 that divides 41280 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

Step-4: Factors of 41299

List of positive integer factors of 41299 that divides 41280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41280 and 41299. The biggest common factor number is the GCF number.
So the greatest common factor 41280 and 41299 is 1.

Also check out the Least Common Multiple of 41280 and 41299