What is the Greatest Common Factor of 355 and 359?

Greatest common factor (GCF) of 355 and 359 is 1.

GCF(355,359) = 1

We will now calculate the prime factors of 355 and 359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 355 and 359.

How to find the GCF of 355 and 359?

We will first find the prime factorization of 355 and 359. After we will calculate the factors of 355 and 359 and find the biggest common factor number .

Step-1: Prime Factorization of 355

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

355 = 5¹ × 71¹

Step-2: Prime Factorization of 359

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 359¹

Step-3: Factors of 355

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

1, 5, 71

Step-4: Factors of 359

List of positive integer factors of 359 that divides 355 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 355 and 359. The biggest common factor number is the GCF number.
So the greatest common factor 355 and 359 is 1.

Also check out the Least Common Multiple of 355 and 359