What is the Greatest Common Factor of 96664 and 96681?

Greatest common factor (GCF) of 96664 and 96681 is 1.

GCF(96664,96681) = 1

We will now calculate the prime factors of 96664 and 96681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96664 and 96681.

How to find the GCF of 96664 and 96681?

We will first find the prime factorization of 96664 and 96681. After we will calculate the factors of 96664 and 96681 and find the biggest common factor number .

Step-1: Prime Factorization of 96664

Prime factors of 96664 are 2, 43, 281. Prime factorization of 96664 in exponential form is:

96664 = 2³ × 43¹ × 281¹

Step-2: Prime Factorization of 96681

Prime factors of 96681 are 3, 13, 37, 67. Prime factorization of 96681 in exponential form is:

96681 = 3¹ × 13¹ × 37¹ × 67¹

Step-3: Factors of 96664

List of positive integer factors of 96664 that divides 96664 without a remainder.

1, 2, 4, 8, 43, 86, 172, 281, 344, 562, 1124, 2248, 12083, 24166, 48332

Step-4: Factors of 96681

List of positive integer factors of 96681 that divides 96664 without a remainder.

1, 3, 13, 37, 39, 67, 111, 201, 481, 871, 1443, 2479, 2613, 7437, 32227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96664 and 96681. The biggest common factor number is the GCF number.
So the greatest common factor 96664 and 96681 is 1.

Also check out the Least Common Multiple of 96664 and 96681