What is the Greatest Common Factor of 35412 and 35424?

Greatest common factor (GCF) of 35412 and 35424 is 12.

GCF(35412,35424) = 12

We will now calculate the prime factors of 35412 and 35424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35412 and 35424.

How to find the GCF of 35412 and 35424?

We will first find the prime factorization of 35412 and 35424. After we will calculate the factors of 35412 and 35424 and find the biggest common factor number .

Step-1: Prime Factorization of 35412

Prime factors of 35412 are 2, 3, 13, 227. Prime factorization of 35412 in exponential form is:

35412 = 2² × 3¹ × 13¹ × 227¹

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 35412

List of positive integer factors of 35412 that divides 35412 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 227, 454, 681, 908, 1362, 2724, 2951, 5902, 8853, 11804, 17706

Step-4: Factors of 35424

List of positive integer factors of 35424 that divides 35412 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 35412 and 35424. The biggest common factor number is the GCF number.
So the greatest common factor 35412 and 35424 is 12.

Also check out the Least Common Multiple of 35412 and 35424