What is the Greatest Common Factor of 41280 and 41284?

Greatest common factor (GCF) of 41280 and 41284 is 4.

GCF(41280,41284) = 4

We will now calculate the prime factors of 41280 and 41284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41280 and 41284.

How to find the GCF of 41280 and 41284?

We will first find the prime factorization of 41280 and 41284. After we will calculate the factors of 41280 and 41284 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 41284

Prime factors of 41284 are 2, 10321. Prime factorization of 41284 in exponential form is:

41284 = 2² × 10321¹

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 41284

List of positive integer factors of 41284 that divides 41280 without a remainder.

1, 2, 4, 10321, 20642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41280 and 41284. The biggest common factor number is the GCF number.
So the greatest common factor 41280 and 41284 is 4.

Also check out the Least Common Multiple of 41280 and 41284