What is the Greatest Common Factor of 1354 and 1371?

Greatest common factor (GCF) of 1354 and 1371 is 1.

GCF(1354,1371) = 1

We will now calculate the prime factors of 1354 and 1371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1354 and 1371.

How to find the GCF of 1354 and 1371?

We will first find the prime factorization of 1354 and 1371. After we will calculate the factors of 1354 and 1371 and find the biggest common factor number .

Step-1: Prime Factorization of 1354

Prime factors of 1354 are 2, 677. Prime factorization of 1354 in exponential form is:

1354 = 2¹ × 677¹

Step-2: Prime Factorization of 1371

Prime factors of 1371 are 3, 457. Prime factorization of 1371 in exponential form is:

1371 = 3¹ × 457¹

Step-3: Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1, 2, 677

Step-4: Factors of 1371

List of positive integer factors of 1371 that divides 1354 without a remainder.

1, 3, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1354 and 1371. The biggest common factor number is the GCF number.
So the greatest common factor 1354 and 1371 is 1.

Also check out the Least Common Multiple of 1354 and 1371