What is the Greatest Common Factor of 99668 and 99688?

Greatest common factor (GCF) of 99668 and 99688 is 4.

GCF(99668,99688) = 4

We will now calculate the prime factors of 99668 and 99688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99668 and 99688.

How to find the GCF of 99668 and 99688?

We will first find the prime factorization of 99668 and 99688. After we will calculate the factors of 99668 and 99688 and find the biggest common factor number .

Step-1: Prime Factorization of 99668

Prime factors of 99668 are 2, 24917. Prime factorization of 99668 in exponential form is:

99668 = 2² × 24917¹

Step-2: Prime Factorization of 99688

Prime factors of 99688 are 2, 17, 733. Prime factorization of 99688 in exponential form is:

99688 = 2³ × 17¹ × 733¹

Step-3: Factors of 99668

List of positive integer factors of 99668 that divides 99668 without a remainder.

1, 2, 4, 24917, 49834

Step-4: Factors of 99688

List of positive integer factors of 99688 that divides 99668 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 733, 1466, 2932, 5864, 12461, 24922, 49844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99668 and 99688. The biggest common factor number is the GCF number.
So the greatest common factor 99668 and 99688 is 4.

Also check out the Least Common Multiple of 99668 and 99688