What is the Greatest Common Factor of 41430 and 41440?

Greatest common factor (GCF) of 41430 and 41440 is 10.

GCF(41430,41440) = 10

We will now calculate the prime factors of 41430 and 41440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41430 and 41440.

How to find the GCF of 41430 and 41440?

We will first find the prime factorization of 41430 and 41440. After we will calculate the factors of 41430 and 41440 and find the biggest common factor number .

Step-1: Prime Factorization of 41430

Prime factors of 41430 are 2, 3, 5, 1381. Prime factorization of 41430 in exponential form is:

41430 = 2¹ × 3¹ × 5¹ × 1381¹

Step-2: Prime Factorization of 41440

Prime factors of 41440 are 2, 5, 7, 37. Prime factorization of 41440 in exponential form is:

41440 = 2⁵ × 5¹ × 7¹ × 37¹

Step-3: Factors of 41430

List of positive integer factors of 41430 that divides 41430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1381, 2762, 4143, 6905, 8286, 13810, 20715

Step-4: Factors of 41440

List of positive integer factors of 41440 that divides 41430 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 160, 185, 224, 259, 280, 296, 370, 518, 560, 592, 740, 1036, 1120, 1184, 1295, 1480, 2072, 2590, 2960, 4144, 5180, 5920, 8288, 10360, 20720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41430 and 41440. The biggest common factor number is the GCF number.
So the greatest common factor 41430 and 41440 is 10.

Also check out the Least Common Multiple of 41430 and 41440