What is the Greatest Common Factor of 357 and 367?

Greatest common factor (GCF) of 357 and 367 is 1.

GCF(357,367) = 1

We will now calculate the prime factors of 357 and 367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 357 and 367.

How to find the GCF of 357 and 367?

We will first find the prime factorization of 357 and 367. After we will calculate the factors of 357 and 367 and find the biggest common factor number .

Step-1: Prime Factorization of 357

Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:

357 = 3¹ × 7¹ × 17¹

Step-2: Prime Factorization of 367

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 367¹

Step-3: Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119

Step-4: Factors of 367

List of positive integer factors of 367 that divides 357 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 357 and 367. The biggest common factor number is the GCF number.
So the greatest common factor 357 and 367 is 1.

Also check out the Least Common Multiple of 357 and 367