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Online Calculators > Math Calculators
GCF of 161 and 105
What is the GCF of 161 and 105? - The GCF of 161 and 105 is 7.
Follow the step by step instructions on how to find the great common factor of 161 and 105.
What is the greatest common factor of 161 and 105?
How to find the gcf of 161 and 105?
Method 1 - Listing Factors
To find the gcf of 161 and 105, we first need to find the factors of 161 and 105 and then choose the greatest common factor that are dividable by both 161 and 105.
Factors of 161 = 1, 7, 23, 161
Factors of 105 = 1, 3, 5, 7, 15, 21, 35, 105
The greatest common factor of 161 and 105 is 7, because 7 is the largest number that is divisible by both numbers.
Method 2 - Prime Factorization
Another method to find the greatest common factor of 161 and 105 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 161 and 105, and then get the GCF by multiplying all the common prime factors from the two sets.
Prime factorization of 161 = 7 x 23
Prime factorization of 105 = 3 x 5 x 7
Common prime factors = 7 = 7
GCF of 160 and 105
GCF of 162 and 105
GCF of 161 and 106
GCF of 161 and 104
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