What is the Greatest Common Factor of 35406 and 35424?

Greatest common factor (GCF) of 35406 and 35424 is 18.

GCF(35406,35424) = 18

We will now calculate the prime factors of 35406 and 35424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35406 and 35424.

How to find the GCF of 35406 and 35424?

We will first find the prime factorization of 35406 and 35424. After we will calculate the factors of 35406 and 35424 and find the biggest common factor number .

Step-1: Prime Factorization of 35406

Prime factors of 35406 are 2, 3, 7, 281. Prime factorization of 35406 in exponential form is:

35406 = 2¹ × 3² × 7¹ × 281¹

Step-2: 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-3: Factors of 35406

List of positive integer factors of 35406 that divides 35406 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 281, 562, 843, 1686, 1967, 2529, 3934, 5058, 5901, 11802, 17703

Step-4: Factors of 35424

List of positive integer factors of 35424 that divides 35406 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35406 and 35424. The biggest common factor number is the GCF number.
So the greatest common factor 35406 and 35424 is 18.

Also check out the Least Common Multiple of 35406 and 35424