What is the Greatest Common Factor of 41280 and 41292?

Greatest common factor (GCF) of 41280 and 41292 is 12.

GCF(41280,41292) = 12

We will now calculate the prime factors of 41280 and 41292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41280 and 41292.

How to find the GCF of 41280 and 41292?

We will first find the prime factorization of 41280 and 41292. After we will calculate the factors of 41280 and 41292 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 41292

Prime factors of 41292 are 2, 3, 31, 37. Prime factorization of 41292 in exponential form is:

41292 = 2² × 3² × 31¹ × 37¹

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 41292

List of positive integer factors of 41292 that divides 41280 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 37, 62, 74, 93, 111, 124, 148, 186, 222, 279, 333, 372, 444, 558, 666, 1116, 1147, 1332, 2294, 3441, 4588, 6882, 10323, 13764, 20646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41280 and 41292. The biggest common factor number is the GCF number.
So the greatest common factor 41280 and 41292 is 12.

Also check out the Least Common Multiple of 41280 and 41292