What is the Greatest Common Factor of 99984 and 99996?

Greatest common factor (GCF) of 99984 and 99996 is 12.

GCF(99984,99996) = 12

We will now calculate the prime factors of 99984 and 99996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99984 and 99996.

How to find the GCF of 99984 and 99996?

We will first find the prime factorization of 99984 and 99996. After we will calculate the factors of 99984 and 99996 and find the biggest common factor number .

Step-1: Prime Factorization of 99984

Prime factors of 99984 are 2, 3, 2083. Prime factorization of 99984 in exponential form is:

99984 = 2⁴ × 3¹ × 2083¹

Step-2: Prime Factorization of 99996

Prime factors of 99996 are 2, 3, 13, 641. Prime factorization of 99996 in exponential form is:

99996 = 2² × 3¹ × 13¹ × 641¹

Step-3: Factors of 99984

List of positive integer factors of 99984 that divides 99984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2083, 4166, 6249, 8332, 12498, 16664, 24996, 33328, 49992

Step-4: Factors of 99996

List of positive integer factors of 99996 that divides 99984 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 641, 1282, 1923, 2564, 3846, 7692, 8333, 16666, 24999, 33332, 49998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99984 and 99996. The biggest common factor number is the GCF number.
So the greatest common factor 99984 and 99996 is 12.

Also check out the Least Common Multiple of 99984 and 99996