What is the Greatest Common Factor of 35346 and 35355?

Greatest common factor (GCF) of 35346 and 35355 is 3.

GCF(35346,35355) = 3

We will now calculate the prime factors of 35346 and 35355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35346 and 35355.

How to find the GCF of 35346 and 35355?

We will first find the prime factorization of 35346 and 35355. After we will calculate the factors of 35346 and 35355 and find the biggest common factor number .

Step-1: Prime Factorization of 35346

Prime factors of 35346 are 2, 3, 43, 137. Prime factorization of 35346 in exponential form is:

35346 = 2¹ × 3¹ × 43¹ × 137¹

Step-2: Prime Factorization of 35355

Prime factors of 35355 are 3, 5, 2357. Prime factorization of 35355 in exponential form is:

35355 = 3¹ × 5¹ × 2357¹

Step-3: Factors of 35346

List of positive integer factors of 35346 that divides 35346 without a remainder.

1, 2, 3, 6, 43, 86, 129, 137, 258, 274, 411, 822, 5891, 11782, 17673

Step-4: Factors of 35355

List of positive integer factors of 35355 that divides 35346 without a remainder.

1, 3, 5, 15, 2357, 7071, 11785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35346 and 35355. The biggest common factor number is the GCF number.
So the greatest common factor 35346 and 35355 is 3.

Also check out the Least Common Multiple of 35346 and 35355