What is the Greatest Common Factor of 41262 and 41280?

Greatest common factor (GCF) of 41262 and 41280 is 6.

GCF(41262,41280) = 6

We will now calculate the prime factors of 41262 and 41280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41262 and 41280.

How to find the GCF of 41262 and 41280?

We will first find the prime factorization of 41262 and 41280. After we will calculate the factors of 41262 and 41280 and find the biggest common factor number .

Step-1: Prime Factorization of 41262

Prime factors of 41262 are 2, 3, 13, 23. Prime factorization of 41262 in exponential form is:

41262 = 2¹ × 3¹ × 13¹ × 23²

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 41262

List of positive integer factors of 41262 that divides 41262 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 529, 598, 897, 1058, 1587, 1794, 3174, 6877, 13754, 20631

Step-4: Factors of 41280

List of positive integer factors of 41280 that divides 41262 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 41262 and 41280. The biggest common factor number is the GCF number.
So the greatest common factor 41262 and 41280 is 6.

Also check out the Least Common Multiple of 41262 and 41280