What is the Greatest Common Factor of 99990 and 99995?
Greatest common factor (GCF) of 99990 and 99995 is 5.
GCF(99990,99995) = 5
We will now calculate the prime factors of 99990 and 99995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99990 and 99995.
How to find the GCF of 99990 and 99995?
We will first find the prime factorization of 99990 and 99995. After we will calculate the factors of 99990 and 99995 and find the biggest common factor number .
Step-1: Prime Factorization of 99990
Prime factors of 99990 are 2, 3, 5, 11, 101. Prime factorization of 99990 in exponential form is:
99990 = 21 × 32 × 51 × 111 × 1011
Step-2: Prime Factorization of 99995
Prime factors of 99995 are 5, 7, 2857. Prime factorization of 99995 in exponential form is:
99995 = 51 × 71 × 28571
Step-3: Factors of 99990
List of positive integer factors of 99990 that divides 99990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 101, 110, 165, 198, 202, 303, 330, 495, 505, 606, 909, 990, 1010, 1111, 1515, 1818, 2222, 3030, 3333, 4545, 5555, 6666, 9090, 9999, 11110, 16665, 19998, 33330, 49995
Step-4: Factors of 99995
List of positive integer factors of 99995 that divides 99990 without a remainder.
1, 5, 7, 35, 2857, 14285, 19999
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 99990 and 99995. The biggest common factor number is the GCF number.
So the greatest common factor 99990 and 99995 is 5.
Also check out the Least Common Multiple of 99990 and 99995