What is the Greatest Common Factor of 64384 and 64394?

Greatest common factor (GCF) of 64384 and 64394 is 2.

GCF(64384,64394) = 2

We will now calculate the prime factors of 64384 and 64394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64384 and 64394.

How to find the GCF of 64384 and 64394?

We will first find the prime factorization of 64384 and 64394. After we will calculate the factors of 64384 and 64394 and find the biggest common factor number .

Step-1: Prime Factorization of 64384

Prime factors of 64384 are 2, 503. Prime factorization of 64384 in exponential form is:

64384 = 2⁷ × 503¹

Step-2: Prime Factorization of 64394

Prime factors of 64394 are 2, 11, 2927. Prime factorization of 64394 in exponential form is:

64394 = 2¹ × 11¹ × 2927¹

Step-3: Factors of 64384

List of positive integer factors of 64384 that divides 64384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 503, 1006, 2012, 4024, 8048, 16096, 32192

Step-4: Factors of 64394

List of positive integer factors of 64394 that divides 64384 without a remainder.

1, 2, 11, 22, 2927, 5854, 32197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64384 and 64394. The biggest common factor number is the GCF number.
So the greatest common factor 64384 and 64394 is 2.

Also check out the Least Common Multiple of 64384 and 64394