What is the Greatest Common Factor of 10384 and 10394?

Greatest common factor (GCF) of 10384 and 10394 is 2.

GCF(10384,10394) = 2

We will now calculate the prime factors of 10384 and 10394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10384 and 10394.

How to find the GCF of 10384 and 10394?

We will first find the prime factorization of 10384 and 10394. After we will calculate the factors of 10384 and 10394 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 10394

Prime factors of 10394 are 2, 5197. Prime factorization of 10394 in exponential form is:

10394 = 2¹ × 5197¹

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 10394

List of positive integer factors of 10394 that divides 10384 without a remainder.

1, 2, 5197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10384 and 10394. The biggest common factor number is the GCF number.
So the greatest common factor 10384 and 10394 is 2.

Also check out the Least Common Multiple of 10384 and 10394