What is the Greatest Common Factor of 35268 and 35286?

Greatest common factor (GCF) of 35268 and 35286 is 6.

GCF(35268,35286) = 6

We will now calculate the prime factors of 35268 and 35286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35268 and 35286.

How to find the GCF of 35268 and 35286?

We will first find the prime factorization of 35268 and 35286. After we will calculate the factors of 35268 and 35286 and find the biggest common factor number .

Step-1: Prime Factorization of 35268

Prime factors of 35268 are 2, 3, 2939. Prime factorization of 35268 in exponential form is:

35268 = 2² × 3¹ × 2939¹

Step-2: 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-3: Factors of 35268

List of positive integer factors of 35268 that divides 35268 without a remainder.

1, 2, 3, 4, 6, 12, 2939, 5878, 8817, 11756, 17634

Step-4: Factors of 35286

List of positive integer factors of 35286 that divides 35268 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35268 and 35286. The biggest common factor number is the GCF number.
So the greatest common factor 35268 and 35286 is 6.

Also check out the Least Common Multiple of 35268 and 35286