What is the Greatest Common Factor of 35415 and 35424?

Greatest common factor (GCF) of 35415 and 35424 is 9.

GCF(35415,35424) = 9

We will now calculate the prime factors of 35415 and 35424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35415 and 35424.

How to find the GCF of 35415 and 35424?

We will first find the prime factorization of 35415 and 35424. After we will calculate the factors of 35415 and 35424 and find the biggest common factor number .

Step-1: Prime Factorization of 35415

Prime factors of 35415 are 3, 5, 787. Prime factorization of 35415 in exponential form is:

35415 = 3² × 5¹ × 787¹

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 35415

List of positive integer factors of 35415 that divides 35415 without a remainder.

1, 3, 5, 9, 15, 45, 787, 2361, 3935, 7083, 11805

Step-4: Factors of 35424

List of positive integer factors of 35424 that divides 35415 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 35415 and 35424. The biggest common factor number is the GCF number.
So the greatest common factor 35415 and 35424 is 9.

Also check out the Least Common Multiple of 35415 and 35424