What is the Greatest Common Factor of 99 and 111?
Greatest common factor (GCF) of 99 and 111 is 3.
GCF(99,111) = 3
We will now calculate the prime factors of 99 and 111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99 and 111.
How to find the GCF of 99 and 111?
We will first find the prime factorization of 99 and 111. After we will calculate the factors of 99 and 111 and find the biggest common factor number .
Step-1: Prime Factorization of 99
Prime factors of 99 are 3, 11. Prime factorization of 99 in exponential form is:
99 = 32 × 111
Step-2: Prime Factorization of 111
Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:
111 = 31 × 371
Step-3: Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33
Step-4: Factors of 111
List of positive integer factors of 111 that divides 99 without a remainder.
1, 3, 37
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 99 and 111. The biggest common factor number is the GCF number.
So the greatest common factor 99 and 111 is 3.
Also check out the Least Common Multiple of 99 and 111
Related Greatest Common Factors of 99
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Related Greatest Common Factors of 111
- GCF of 111 and 115
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