What is the Greatest Common Factor of 41280 and 41296?

Greatest common factor (GCF) of 41280 and 41296 is 16.

GCF(41280,41296) = 16

We will now calculate the prime factors of 41280 and 41296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41280 and 41296.

How to find the GCF of 41280 and 41296?

We will first find the prime factorization of 41280 and 41296. After we will calculate the factors of 41280 and 41296 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 41296

Prime factors of 41296 are 2, 29, 89. Prime factorization of 41296 in exponential form is:

41296 = 2⁴ × 29¹ × 89¹

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 41296

List of positive integer factors of 41296 that divides 41280 without a remainder.

1, 2, 4, 8, 16, 29, 58, 89, 116, 178, 232, 356, 464, 712, 1424, 2581, 5162, 10324, 20648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41280 and 41296. The biggest common factor number is the GCF number.
So the greatest common factor 41280 and 41296 is 16.

Also check out the Least Common Multiple of 41280 and 41296