What is the Greatest Common Factor of 371 and 383?

Greatest common factor (GCF) of 371 and 383 is 1.

GCF(371,383) = 1

We will now calculate the prime factors of 371 and 383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 371 and 383.

How to find the GCF of 371 and 383?

We will first find the prime factorization of 371 and 383. After we will calculate the factors of 371 and 383 and find the biggest common factor number .

Step-1: Prime Factorization of 371

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

371 = 7¹ × 53¹

Step-2: Prime Factorization of 383

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 383¹

Step-3: Factors of 371

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

1, 7, 53

Step-4: Factors of 383

List of positive integer factors of 383 that divides 371 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 371 and 383. The biggest common factor number is the GCF number.
So the greatest common factor 371 and 383 is 1.

Also check out the Least Common Multiple of 371 and 383