What is the Greatest Common Factor of 99984 and 99988?
Greatest common factor (GCF) of 99984 and 99988 is 4.
GCF(99984,99988) = 4
We will now calculate the prime factors of 99984 and 99988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99984 and 99988.
How to find the GCF of 99984 and 99988?
We will first find the prime factorization of 99984 and 99988. After we will calculate the factors of 99984 and 99988 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 99988
Prime factors of 99988 are 2, 7, 3571. Prime factorization of 99988 in exponential form is:
99988 = 22 × 71 × 35711
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 99988
List of positive integer factors of 99988 that divides 99984 without a remainder.
1, 2, 4, 7, 14, 28, 3571, 7142, 14284, 24997, 49994
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 99984 and 99988. The biggest common factor number is the GCF number.
So the greatest common factor 99984 and 99988 is 4.
Also check out the Least Common Multiple of 99984 and 99988