What is the Greatest Common Factor of 99981 and 99990?
Greatest common factor (GCF) of 99981 and 99990 is 9.
GCF(99981,99990) = 9
We will now calculate the prime factors of 99981 and 99990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99981 and 99990.
How to find the GCF of 99981 and 99990?
We will first find the prime factorization of 99981 and 99990. After we will calculate the factors of 99981 and 99990 and find the biggest common factor number .
Step-1: Prime Factorization of 99981
Prime factors of 99981 are 3, 7, 23. Prime factorization of 99981 in exponential form is:
99981 = 33 × 71 × 232
Step-2: 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-3: Factors of 99981
List of positive integer factors of 99981 that divides 99981 without a remainder.
1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 529, 621, 1449, 1587, 3703, 4347, 4761, 11109, 14283, 33327
Step-4: Factors of 99990
List of positive integer factors of 99990 that divides 99981 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 99981 and 99990. The biggest common factor number is the GCF number.
So the greatest common factor 99981 and 99990 is 9.
Also check out the Least Common Multiple of 99981 and 99990
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