What is the Greatest Common Factor of 35286 and 35298?

Greatest common factor (GCF) of 35286 and 35298 is 6.

GCF(35286,35298) = 6

We will now calculate the prime factors of 35286 and 35298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35286 and 35298.

How to find the GCF of 35286 and 35298?

We will first find the prime factorization of 35286 and 35298. After we will calculate the factors of 35286 and 35298 and find the biggest common factor number .

Step-1: Prime Factorization of 35286

Prime factors of 35286 are 2, 3, 5881. Prime factorization of 35286 in exponential form is:

35286 = 2¹ × 3¹ × 5881¹

Step-2: Prime Factorization of 35298

Prime factors of 35298 are 2, 3, 37, 53. Prime factorization of 35298 in exponential form is:

35298 = 2¹ × 3² × 37¹ × 53¹

Step-3: Factors of 35286

List of positive integer factors of 35286 that divides 35286 without a remainder.

1, 2, 3, 6, 5881, 11762, 17643

Step-4: Factors of 35298

List of positive integer factors of 35298 that divides 35286 without a remainder.

1, 2, 3, 6, 9, 18, 37, 53, 74, 106, 111, 159, 222, 318, 333, 477, 666, 954, 1961, 3922, 5883, 11766, 17649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35286 and 35298. The biggest common factor number is the GCF number.
So the greatest common factor 35286 and 35298 is 6.

Also check out the Least Common Multiple of 35286 and 35298