What is the Greatest Common Factor of 35345 and 35365?

Greatest common factor (GCF) of 35345 and 35365 is 5.

GCF(35345,35365) = 5

We will now calculate the prime factors of 35345 and 35365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35345 and 35365.

How to find the GCF of 35345 and 35365?

We will first find the prime factorization of 35345 and 35365. After we will calculate the factors of 35345 and 35365 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 35365

Prime factors of 35365 are 5, 11, 643. Prime factorization of 35365 in exponential form is:

35365 = 5¹ × 11¹ × 643¹

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 35365

List of positive integer factors of 35365 that divides 35345 without a remainder.

1, 5, 11, 55, 643, 3215, 7073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35345 and 35365. The biggest common factor number is the GCF number.
So the greatest common factor 35345 and 35365 is 5.

Also check out the Least Common Multiple of 35345 and 35365