What is the Greatest Common Factor of 35358 and 35366?

Greatest common factor (GCF) of 35358 and 35366 is 2.

GCF(35358,35366) = 2

We will now calculate the prime factors of 35358 and 35366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35358 and 35366.

How to find the GCF of 35358 and 35366?

We will first find the prime factorization of 35358 and 35366. After we will calculate the factors of 35358 and 35366 and find the biggest common factor number .

Step-1: Prime Factorization of 35358

Prime factors of 35358 are 2, 3, 71, 83. Prime factorization of 35358 in exponential form is:

35358 = 2¹ × 3¹ × 71¹ × 83¹

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 35358

List of positive integer factors of 35358 that divides 35358 without a remainder.

1, 2, 3, 6, 71, 83, 142, 166, 213, 249, 426, 498, 5893, 11786, 17679

Step-4: Factors of 35366

List of positive integer factors of 35366 that divides 35358 without a remainder.

1, 2, 17683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35358 and 35366. The biggest common factor number is the GCF number.
So the greatest common factor 35358 and 35366 is 2.

Also check out the Least Common Multiple of 35358 and 35366