What is the Greatest Common Factor of 35406 and 35412?

Greatest common factor (GCF) of 35406 and 35412 is 6.

GCF(35406,35412) = 6

We will now calculate the prime factors of 35406 and 35412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35406 and 35412.

How to find the GCF of 35406 and 35412?

We will first find the prime factorization of 35406 and 35412. After we will calculate the factors of 35406 and 35412 and find the biggest common factor number .

Step-1: Prime Factorization of 35406

Prime factors of 35406 are 2, 3, 7, 281. Prime factorization of 35406 in exponential form is:

35406 = 2¹ × 3² × 7¹ × 281¹

Step-2: 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-3: Factors of 35406

List of positive integer factors of 35406 that divides 35406 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 281, 562, 843, 1686, 1967, 2529, 3934, 5058, 5901, 11802, 17703

Step-4: Factors of 35412

List of positive integer factors of 35412 that divides 35406 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35406 and 35412. The biggest common factor number is the GCF number.
So the greatest common factor 35406 and 35412 is 6.

Also check out the Least Common Multiple of 35406 and 35412