What is the Greatest Common Factor of 35424 and 35442?

Greatest common factor (GCF) of 35424 and 35442 is 18.

GCF(35424,35442) = 18

We will now calculate the prime factors of 35424 and 35442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35424 and 35442.

How to find the GCF of 35424 and 35442?

We will first find the prime factorization of 35424 and 35442. After we will calculate the factors of 35424 and 35442 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 35442

Prime factors of 35442 are 2, 3, 11, 179. Prime factorization of 35442 in exponential form is:

35442 = 2¹ × 3² × 11¹ × 179¹

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 35442

List of positive integer factors of 35442 that divides 35424 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 179, 198, 358, 537, 1074, 1611, 1969, 3222, 3938, 5907, 11814, 17721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35424 and 35442. The biggest common factor number is the GCF number.
So the greatest common factor 35424 and 35442 is 18.

Also check out the Least Common Multiple of 35424 and 35442