What is the Greatest Common Factor of 41440 and 41454?

Greatest common factor (GCF) of 41440 and 41454 is 14.

GCF(41440,41454) = 14

We will now calculate the prime factors of 41440 and 41454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41440 and 41454.

How to find the GCF of 41440 and 41454?

We will first find the prime factorization of 41440 and 41454. After we will calculate the factors of 41440 and 41454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41454

Prime factors of 41454 are 2, 3, 7, 47. Prime factorization of 41454 in exponential form is:

41454 = 2¹ × 3² × 7² × 47¹

Step-3: Factors of 41440

List of positive integer factors of 41440 that divides 41440 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

Step-4: Factors of 41454

List of positive integer factors of 41454 that divides 41440 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 49, 63, 94, 98, 126, 141, 147, 282, 294, 329, 423, 441, 658, 846, 882, 987, 1974, 2303, 2961, 4606, 5922, 6909, 13818, 20727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41440 and 41454. The biggest common factor number is the GCF number.
So the greatest common factor 41440 and 41454 is 14.

Also check out the Least Common Multiple of 41440 and 41454