What is the Greatest Common Factor of 35362 and 35366?

Greatest common factor (GCF) of 35362 and 35366 is 2.

GCF(35362,35366) = 2

We will now calculate the prime factors of 35362 and 35366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35362 and 35366.

How to find the GCF of 35362 and 35366?

We will first find the prime factorization of 35362 and 35366. After we will calculate the factors of 35362 and 35366 and find the biggest common factor number .

Step-1: Prime Factorization of 35362

Prime factors of 35362 are 2, 17681. Prime factorization of 35362 in exponential form is:

35362 = 2¹ × 17681¹

Step-2: Prime Factorization of 35366

Prime factors of 35366 are 2, 17683. Prime factorization of 35366 in exponential form is:

35366 = 2¹ × 17683¹

Step-3: Factors of 35362

List of positive integer factors of 35362 that divides 35362 without a remainder.

1, 2, 17681

Step-4: Factors of 35366

List of positive integer factors of 35366 that divides 35362 without a remainder.

1, 2, 17683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35362 and 35366. The biggest common factor number is the GCF number.
So the greatest common factor 35362 and 35366 is 2.

Also check out the Least Common Multiple of 35362 and 35366