What is the Greatest Common Factor of 41274 and 41280?

Greatest common factor (GCF) of 41274 and 41280 is 6.

GCF(41274,41280) = 6

We will now calculate the prime factors of 41274 and 41280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41274 and 41280.

How to find the GCF of 41274 and 41280?

We will first find the prime factorization of 41274 and 41280. After we will calculate the factors of 41274 and 41280 and find the biggest common factor number .

Step-1: Prime Factorization of 41274

Prime factors of 41274 are 2, 3, 2293. Prime factorization of 41274 in exponential form is:

41274 = 2¹ × 3² × 2293¹

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 41274

List of positive integer factors of 41274 that divides 41274 without a remainder.

1, 2, 3, 6, 9, 18, 2293, 4586, 6879, 13758, 20637

Step-4: Factors of 41280

List of positive integer factors of 41280 that divides 41274 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 41274 and 41280. The biggest common factor number is the GCF number.
So the greatest common factor 41274 and 41280 is 6.

Also check out the Least Common Multiple of 41274 and 41280