What is the Greatest Common Factor of 96889 and 96902?

Greatest common factor (GCF) of 96889 and 96902 is 13.

GCF(96889,96902) = 13

We will now calculate the prime factors of 96889 and 96902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96889 and 96902.

How to find the GCF of 96889 and 96902?

We will first find the prime factorization of 96889 and 96902. After we will calculate the factors of 96889 and 96902 and find the biggest common factor number .

Step-1: Prime Factorization of 96889

Prime factors of 96889 are 13, 29, 257. Prime factorization of 96889 in exponential form is:

96889 = 13¹ × 29¹ × 257¹

Step-2: Prime Factorization of 96902

Prime factors of 96902 are 2, 13, 3727. Prime factorization of 96902 in exponential form is:

96902 = 2¹ × 13¹ × 3727¹

Step-3: Factors of 96889

List of positive integer factors of 96889 that divides 96889 without a remainder.

1, 13, 29, 257, 377, 3341, 7453

Step-4: Factors of 96902

List of positive integer factors of 96902 that divides 96889 without a remainder.

1, 2, 13, 26, 3727, 7454, 48451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96889 and 96902. The biggest common factor number is the GCF number.
So the greatest common factor 96889 and 96902 is 13.

Also check out the Least Common Multiple of 96889 and 96902