What is the Greatest Common Factor of 10388 and 10405?

Greatest common factor (GCF) of 10388 and 10405 is 1.

GCF(10388,10405) = 1

We will now calculate the prime factors of 10388 and 10405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10388 and 10405.

How to find the GCF of 10388 and 10405?

We will first find the prime factorization of 10388 and 10405. After we will calculate the factors of 10388 and 10405 and find the biggest common factor number .

Step-1: Prime Factorization of 10388

Prime factors of 10388 are 2, 7, 53. Prime factorization of 10388 in exponential form is:

10388 = 2² × 7² × 53¹

Step-2: Prime Factorization of 10405

Prime factors of 10405 are 5, 2081. Prime factorization of 10405 in exponential form is:

10405 = 5¹ × 2081¹

Step-3: Factors of 10388

List of positive integer factors of 10388 that divides 10388 without a remainder.

1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 371, 742, 1484, 2597, 5194

Step-4: Factors of 10405

List of positive integer factors of 10405 that divides 10388 without a remainder.

1, 5, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10388 and 10405. The biggest common factor number is the GCF number.
So the greatest common factor 10388 and 10405 is 1.

Also check out the Least Common Multiple of 10388 and 10405