What is the Greatest Common Factor of 343 and 357?

Greatest common factor (GCF) of 343 and 357 is 7.

GCF(343,357) = 7

We will now calculate the prime factors of 343 and 357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 343 and 357.

How to find the GCF of 343 and 357?

We will first find the prime factorization of 343 and 357. After we will calculate the factors of 343 and 357 and find the biggest common factor number .

Step-1: Prime Factorization of 343

Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:

343 = 7³

Step-2: 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-3: Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1, 7, 49

Step-4: Factors of 357

List of positive integer factors of 357 that divides 343 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 343 and 357. The biggest common factor number is the GCF number.
So the greatest common factor 343 and 357 is 7.

Also check out the Least Common Multiple of 343 and 357