What is the Greatest Common Factor of 57354 and 57371?

Greatest common factor (GCF) of 57354 and 57371 is 1.

GCF(57354,57371) = 1

We will now calculate the prime factors of 57354 and 57371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57354 and 57371.

How to find the GCF of 57354 and 57371?

We will first find the prime factorization of 57354 and 57371. After we will calculate the factors of 57354 and 57371 and find the biggest common factor number .

Step-1: Prime Factorization of 57354

Prime factors of 57354 are 2, 3, 11, 79. Prime factorization of 57354 in exponential form is:

57354 = 2¹ × 3¹ × 11² × 79¹

Step-2: Prime Factorization of 57371

Prime factors of 57371 are 103, 557. Prime factorization of 57371 in exponential form is:

57371 = 103¹ × 557¹

Step-3: Factors of 57354

List of positive integer factors of 57354 that divides 57354 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 79, 121, 158, 237, 242, 363, 474, 726, 869, 1738, 2607, 5214, 9559, 19118, 28677

Step-4: Factors of 57371

List of positive integer factors of 57371 that divides 57354 without a remainder.

1, 103, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57354 and 57371. The biggest common factor number is the GCF number.
So the greatest common factor 57354 and 57371 is 1.

Also check out the Least Common Multiple of 57354 and 57371