What is the Greatest Common Factor of 35424 and 35443?

Greatest common factor (GCF) of 35424 and 35443 is 1.

GCF(35424,35443) = 1

We will now calculate the prime factors of 35424 and 35443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35424 and 35443.

How to find the GCF of 35424 and 35443?

We will first find the prime factorization of 35424 and 35443. After we will calculate the factors of 35424 and 35443 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 35443

Prime factors of 35443 are 23, 67. Prime factorization of 35443 in exponential form is:

35443 = 23² × 67¹

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 35443

List of positive integer factors of 35443 that divides 35424 without a remainder.

1, 23, 67, 529, 1541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35424 and 35443. The biggest common factor number is the GCF number.
So the greatest common factor 35424 and 35443 is 1.

Also check out the Least Common Multiple of 35424 and 35443