What is the Greatest Common Factor of 35424 and 35438?

Greatest common factor (GCF) of 35424 and 35438 is 2.

GCF(35424,35438) = 2

We will now calculate the prime factors of 35424 and 35438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35424 and 35438.

How to find the GCF of 35424 and 35438?

We will first find the prime factorization of 35424 and 35438. After we will calculate the factors of 35424 and 35438 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 35438

Prime factors of 35438 are 2, 13, 29, 47. Prime factorization of 35438 in exponential form is:

35438 = 2¹ × 13¹ × 29¹ × 47¹

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 35438

List of positive integer factors of 35438 that divides 35424 without a remainder.

1, 2, 13, 26, 29, 47, 58, 94, 377, 611, 754, 1222, 1363, 2726, 17719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35424 and 35438. The biggest common factor number is the GCF number.
So the greatest common factor 35424 and 35438 is 2.

Also check out the Least Common Multiple of 35424 and 35438