What is the Greatest Common Factor of 96608 and 96614?

Greatest common factor (GCF) of 96608 and 96614 is 2.

GCF(96608,96614) = 2

We will now calculate the prime factors of 96608 and 96614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96608 and 96614.

How to find the GCF of 96608 and 96614?

We will first find the prime factorization of 96608 and 96614. After we will calculate the factors of 96608 and 96614 and find the biggest common factor number .

Step-1: Prime Factorization of 96608

Prime factors of 96608 are 2, 3019. Prime factorization of 96608 in exponential form is:

96608 = 2⁵ × 3019¹

Step-2: Prime Factorization of 96614

Prime factors of 96614 are 2, 7, 67, 103. Prime factorization of 96614 in exponential form is:

96614 = 2¹ × 7¹ × 67¹ × 103¹

Step-3: Factors of 96608

List of positive integer factors of 96608 that divides 96608 without a remainder.

1, 2, 4, 8, 16, 32, 3019, 6038, 12076, 24152, 48304

Step-4: Factors of 96614

List of positive integer factors of 96614 that divides 96608 without a remainder.

1, 2, 7, 14, 67, 103, 134, 206, 469, 721, 938, 1442, 6901, 13802, 48307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96608 and 96614. The biggest common factor number is the GCF number.
So the greatest common factor 96608 and 96614 is 2.

Also check out the Least Common Multiple of 96608 and 96614