What is the Greatest Common Factor of 35424 and 35440?

Greatest common factor (GCF) of 35424 and 35440 is 16.

GCF(35424,35440) = 16

We will now calculate the prime factors of 35424 and 35440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35424 and 35440.

How to find the GCF of 35424 and 35440?

We will first find the prime factorization of 35424 and 35440. After we will calculate the factors of 35424 and 35440 and find the biggest common factor number .

Step-1: Prime Factorization of 35424

Prime factors of 35424 are 2, 3, 41. Prime factorization of 35424 in exponential form is:

35424 = 2⁵ × 3³ × 41¹

Step-2: Prime Factorization of 35440

Prime factors of 35440 are 2, 5, 443. Prime factorization of 35440 in exponential form is:

35440 = 2⁴ × 5¹ × 443¹

Step-3: Factors of 35424

List of positive integer factors of 35424 that divides 35424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 41, 48, 54, 72, 82, 96, 108, 123, 144, 164, 216, 246, 288, 328, 369, 432, 492, 656, 738, 864, 984, 1107, 1312, 1476, 1968, 2214, 2952, 3936, 4428, 5904, 8856, 11808, 17712

Step-4: Factors of 35440

List of positive integer factors of 35440 that divides 35424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 443, 886, 1772, 2215, 3544, 4430, 7088, 8860, 17720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35424 and 35440. The biggest common factor number is the GCF number.
So the greatest common factor 35424 and 35440 is 16.

Also check out the Least Common Multiple of 35424 and 35440