What is the Greatest Common Factor of 35345 and 35355?

Greatest common factor (GCF) of 35345 and 35355 is 5.

GCF(35345,35355) = 5

We will now calculate the prime factors of 35345 and 35355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35345 and 35355.

How to find the GCF of 35345 and 35355?

We will first find the prime factorization of 35345 and 35355. After we will calculate the factors of 35345 and 35355 and find the biggest common factor number .

Step-1: Prime Factorization of 35345

Prime factors of 35345 are 5, 7069. Prime factorization of 35345 in exponential form is:

35345 = 5¹ × 7069¹

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 35345

List of positive integer factors of 35345 that divides 35345 without a remainder.

1, 5, 7069

Step-4: Factors of 35355

List of positive integer factors of 35355 that divides 35345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35345 and 35355. The biggest common factor number is the GCF number.
So the greatest common factor 35345 and 35355 is 5.

Also check out the Least Common Multiple of 35345 and 35355