What is the Greatest Common Factor of 41264 and 41280?

Greatest common factor (GCF) of 41264 and 41280 is 16.

GCF(41264,41280) = 16

We will now calculate the prime factors of 41264 and 41280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41264 and 41280.

How to find the GCF of 41264 and 41280?

We will first find the prime factorization of 41264 and 41280. After we will calculate the factors of 41264 and 41280 and find the biggest common factor number .

Step-1: Prime Factorization of 41264

Prime factors of 41264 are 2, 2579. Prime factorization of 41264 in exponential form is:

41264 = 2⁴ × 2579¹

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 41264

List of positive integer factors of 41264 that divides 41264 without a remainder.

1, 2, 4, 8, 16, 2579, 5158, 10316, 20632

Step-4: Factors of 41280

List of positive integer factors of 41280 that divides 41264 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 41264 and 41280. The biggest common factor number is the GCF number.
So the greatest common factor 41264 and 41280 is 16.

Also check out the Least Common Multiple of 41264 and 41280