What is the Greatest Common Factor of 1378 and 1391?

Greatest common factor (GCF) of 1378 and 1391 is 13.

GCF(1378,1391) = 13

We will now calculate the prime factors of 1378 and 1391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1378 and 1391.

How to find the GCF of 1378 and 1391?

We will first find the prime factorization of 1378 and 1391. After we will calculate the factors of 1378 and 1391 and find the biggest common factor number .

Step-1: Prime Factorization of 1378

Prime factors of 1378 are 2, 13, 53. Prime factorization of 1378 in exponential form is:

1378 = 2¹ × 13¹ × 53¹

Step-2: Prime Factorization of 1391

Prime factors of 1391 are 13, 107. Prime factorization of 1391 in exponential form is:

1391 = 13¹ × 107¹

Step-3: Factors of 1378

List of positive integer factors of 1378 that divides 1378 without a remainder.

1, 2, 13, 26, 53, 106, 689

Step-4: Factors of 1391

List of positive integer factors of 1391 that divides 1378 without a remainder.

1, 13, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1378 and 1391. The biggest common factor number is the GCF number.
So the greatest common factor 1378 and 1391 is 13.

Also check out the Least Common Multiple of 1378 and 1391