What is the Greatest Common Factor of 41340 and 41344?

Greatest common factor (GCF) of 41340 and 41344 is 4.

GCF(41340,41344) = 4

We will now calculate the prime factors of 41340 and 41344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41340 and 41344.

How to find the GCF of 41340 and 41344?

We will first find the prime factorization of 41340 and 41344. After we will calculate the factors of 41340 and 41344 and find the biggest common factor number .

Step-1: Prime Factorization of 41340

Prime factors of 41340 are 2, 3, 5, 13, 53. Prime factorization of 41340 in exponential form is:

41340 = 2² × 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 41344

Prime factors of 41344 are 2, 17, 19. Prime factorization of 41344 in exponential form is:

41344 = 2⁷ × 17¹ × 19¹

Step-3: Factors of 41340

List of positive integer factors of 41340 that divides 41340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 106, 130, 156, 159, 195, 212, 260, 265, 318, 390, 530, 636, 689, 780, 795, 1060, 1378, 1590, 2067, 2756, 3180, 3445, 4134, 6890, 8268, 10335, 13780, 20670

Step-4: Factors of 41344

List of positive integer factors of 41344 that divides 41340 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 5168, 10336, 20672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41340 and 41344. The biggest common factor number is the GCF number.
So the greatest common factor 41340 and 41344 is 4.

Also check out the Least Common Multiple of 41340 and 41344