What is the Greatest Common Factor of 96859 and 96873?

Greatest common factor (GCF) of 96859 and 96873 is 7.

GCF(96859,96873) = 7

We will now calculate the prime factors of 96859 and 96873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96859 and 96873.

How to find the GCF of 96859 and 96873?

We will first find the prime factorization of 96859 and 96873. After we will calculate the factors of 96859 and 96873 and find the biggest common factor number .

Step-1: Prime Factorization of 96859

Prime factors of 96859 are 7, 101, 137. Prime factorization of 96859 in exponential form is:

96859 = 7¹ × 101¹ × 137¹

Step-2: Prime Factorization of 96873

Prime factors of 96873 are 3, 7, 659. Prime factorization of 96873 in exponential form is:

96873 = 3¹ × 7² × 659¹

Step-3: Factors of 96859

List of positive integer factors of 96859 that divides 96859 without a remainder.

1, 7, 101, 137, 707, 959, 13837

Step-4: Factors of 96873

List of positive integer factors of 96873 that divides 96859 without a remainder.

1, 3, 7, 21, 49, 147, 659, 1977, 4613, 13839, 32291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96859 and 96873. The biggest common factor number is the GCF number.
So the greatest common factor 96859 and 96873 is 7.

Also check out the Least Common Multiple of 96859 and 96873