What is the Greatest Common Factor of 35790 and 35806?

Greatest common factor (GCF) of 35790 and 35806 is 2.

GCF(35790,35806) = 2

We will now calculate the prime factors of 35790 and 35806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35790 and 35806.

How to find the GCF of 35790 and 35806?

We will first find the prime factorization of 35790 and 35806. After we will calculate the factors of 35790 and 35806 and find the biggest common factor number .

Step-1: Prime Factorization of 35790

Prime factors of 35790 are 2, 3, 5, 1193. Prime factorization of 35790 in exponential form is:

35790 = 2¹ × 3¹ × 5¹ × 1193¹

Step-2: Prime Factorization of 35806

Prime factors of 35806 are 2, 17903. Prime factorization of 35806 in exponential form is:

35806 = 2¹ × 17903¹

Step-3: Factors of 35790

List of positive integer factors of 35790 that divides 35790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1193, 2386, 3579, 5965, 7158, 11930, 17895

Step-4: Factors of 35806

List of positive integer factors of 35806 that divides 35790 without a remainder.

1, 2, 17903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35790 and 35806. The biggest common factor number is the GCF number.
So the greatest common factor 35790 and 35806 is 2.

Also check out the Least Common Multiple of 35790 and 35806