What is the Greatest Common Factor of 345 and 355?

Greatest common factor (GCF) of 345 and 355 is 5.

GCF(345,355) = 5

We will now calculate the prime factors of 345 and 355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 345 and 355.

How to find the GCF of 345 and 355?

We will first find the prime factorization of 345 and 355. After we will calculate the factors of 345 and 355 and find the biggest common factor number .

Step-1: Prime Factorization of 345

Prime factors of 345 are 3, 5, 23. Prime factorization of 345 in exponential form is:

345 = 3¹ × 5¹ × 23¹

Step-2: Prime Factorization of 355

Prime factors of 355 are 5, 71. Prime factorization of 355 in exponential form is:

355 = 5¹ × 71¹

Step-3: Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115

Step-4: Factors of 355

List of positive integer factors of 355 that divides 345 without a remainder.

1, 5, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 345 and 355. The biggest common factor number is the GCF number.
So the greatest common factor 345 and 355 is 5.

Also check out the Least Common Multiple of 345 and 355