What is the Greatest Common Factor of 1385 and 1405?

Greatest common factor (GCF) of 1385 and 1405 is 5.

GCF(1385,1405) = 5

We will now calculate the prime factors of 1385 and 1405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1385 and 1405.

How to find the GCF of 1385 and 1405?

We will first find the prime factorization of 1385 and 1405. After we will calculate the factors of 1385 and 1405 and find the biggest common factor number .

Step-1: Prime Factorization of 1385

Prime factors of 1385 are 5, 277. Prime factorization of 1385 in exponential form is:

1385 = 5¹ × 277¹

Step-2: Prime Factorization of 1405

Prime factors of 1405 are 5, 281. Prime factorization of 1405 in exponential form is:

1405 = 5¹ × 281¹

Step-3: Factors of 1385

List of positive integer factors of 1385 that divides 1385 without a remainder.

1, 5, 277

Step-4: Factors of 1405

List of positive integer factors of 1405 that divides 1385 without a remainder.

1, 5, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1385 and 1405. The biggest common factor number is the GCF number.
So the greatest common factor 1385 and 1405 is 5.

Also check out the Least Common Multiple of 1385 and 1405