What is the Greatest Common Factor of 10384 and 10391?

Greatest common factor (GCF) of 10384 and 10391 is 1.

GCF(10384,10391) = 1

We will now calculate the prime factors of 10384 and 10391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10384 and 10391.

How to find the GCF of 10384 and 10391?

We will first find the prime factorization of 10384 and 10391. After we will calculate the factors of 10384 and 10391 and find the biggest common factor number .

Step-1: Prime Factorization of 10384

Prime factors of 10384 are 2, 11, 59. Prime factorization of 10384 in exponential form is:

10384 = 2⁴ × 11¹ × 59¹

Step-2: Prime Factorization of 10391

Prime factors of 10391 are 10391. Prime factorization of 10391 in exponential form is:

10391 = 10391¹

Step-3: Factors of 10384

List of positive integer factors of 10384 that divides 10384 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 59, 88, 118, 176, 236, 472, 649, 944, 1298, 2596, 5192

Step-4: Factors of 10391

List of positive integer factors of 10391 that divides 10384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10384 and 10391. The biggest common factor number is the GCF number.
So the greatest common factor 10384 and 10391 is 1.

Also check out the Least Common Multiple of 10384 and 10391