Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3}}}}[/tex]
[tex] \sf{Step - by - step \: explanation}[/tex] :
[tex] \sf{Factors \: of \: 3 = \: 1 \: \times 3}[/tex]
[tex] \sf{Factors \: of \: 6 = 1 \times 2 \times 3 }[/tex]
G.C.F = Common prime factors = 1 × 3 = 3
Hence , the Greatest Common Factor ( GCF ) of 3 and 6 is 3 .
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GCF is also called Highest Common Factor ( HCF ) and the Greatest Common divisor ( GCD ) . The GCF of any numbers can be obtained by using two methods. They are :
1. Prime Factorization method
The steps for finding GCF by this method are :
- First of all , find the prime factor of each numbers.
- Take out the common prime factors of given numbers.
- Multiply those all common prime factors and the number which is obtained is GCF. If there is no any common prime factor existing , then 1 is considered as GCF of those numbers.
2. Division method
The steps for finding GCF by this method are :
- Divide the larger number by smaller one.
- In case of remaining remainder , divide the first divisor by that remainder.
- Again if remainder leaves , divide the second divisor by the remainder.
- Repeat the process until the remainder becomes the zero. So , that the last divisor is the GCF.
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