What is the Greatest Common Factor of 35404 and 35424?

Greatest common factor (GCF) of 35404 and 35424 is 4.

GCF(35404,35424) = 4

We will now calculate the prime factors of 35404 and 35424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35404 and 35424.

How to find the GCF of 35404 and 35424?

We will first find the prime factorization of 35404 and 35424. After we will calculate the factors of 35404 and 35424 and find the biggest common factor number .

Step-1: Prime Factorization of 35404

Prime factors of 35404 are 2, 53, 167. Prime factorization of 35404 in exponential form is:

35404 = 2² × 53¹ × 167¹

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 35404

List of positive integer factors of 35404 that divides 35404 without a remainder.

1, 2, 4, 53, 106, 167, 212, 334, 668, 8851, 17702

Step-4: Factors of 35424

List of positive integer factors of 35424 that divides 35404 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 35404 and 35424. The biggest common factor number is the GCF number.
So the greatest common factor 35404 and 35424 is 4.

Also check out the Least Common Multiple of 35404 and 35424