What is the Greatest Common Factor of 357 and 371?

Greatest common factor (GCF) of 357 and 371 is 7.

GCF(357,371) = 7

We will now calculate the prime factors of 357 and 371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 357 and 371.

How to find the GCF of 357 and 371?

We will first find the prime factorization of 357 and 371. After we will calculate the factors of 357 and 371 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 371

Prime factors of 371 are 7, 53. Prime factorization of 371 in exponential form is:

371 = 7¹ × 53¹

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 371

List of positive integer factors of 371 that divides 357 without a remainder.

1, 7, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 357 and 371. The biggest common factor number is the GCF number.
So the greatest common factor 357 and 371 is 7.

Also check out the Least Common Multiple of 357 and 371