What is the Greatest Common Factor of 96902 and 96916?

Greatest common factor (GCF) of 96902 and 96916 is 2.

GCF(96902,96916) = 2

We will now calculate the prime factors of 96902 and 96916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96902 and 96916.

How to find the GCF of 96902 and 96916?

We will first find the prime factorization of 96902 and 96916. After we will calculate the factors of 96902 and 96916 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96916

Prime factors of 96916 are 2, 24229. Prime factorization of 96916 in exponential form is:

96916 = 2² × 24229¹

Step-3: Factors of 96902

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

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

Step-4: Factors of 96916

List of positive integer factors of 96916 that divides 96902 without a remainder.

1, 2, 4, 24229, 48458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96902 and 96916. The biggest common factor number is the GCF number.
So the greatest common factor 96902 and 96916 is 2.

Also check out the Least Common Multiple of 96902 and 96916