What is the Greatest Common Factor of 64382 and 64392?

Greatest common factor (GCF) of 64382 and 64392 is 2.

GCF(64382,64392) = 2

We will now calculate the prime factors of 64382 and 64392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64382 and 64392.

How to find the GCF of 64382 and 64392?

We will first find the prime factorization of 64382 and 64392. After we will calculate the factors of 64382 and 64392 and find the biggest common factor number .

Step-1: Prime Factorization of 64382

Prime factors of 64382 are 2, 32191. Prime factorization of 64382 in exponential form is:

64382 = 2¹ × 32191¹

Step-2: Prime Factorization of 64392

Prime factors of 64392 are 2, 3, 2683. Prime factorization of 64392 in exponential form is:

64392 = 2³ × 3¹ × 2683¹

Step-3: Factors of 64382

List of positive integer factors of 64382 that divides 64382 without a remainder.

1, 2, 32191

Step-4: Factors of 64392

List of positive integer factors of 64392 that divides 64382 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2683, 5366, 8049, 10732, 16098, 21464, 32196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64382 and 64392. The biggest common factor number is the GCF number.
So the greatest common factor 64382 and 64392 is 2.

Also check out the Least Common Multiple of 64382 and 64392