The GCF is 1.
The greatest common factor for 43 and 32 is 1. Method 1: Factoring completely, we determine that: 32 = 2 * 2 * 2 * 2 * 2 * 1 43 = 43 * 1 The only factor that these two have in common is 1, making this the greatest common factor. Method 2: We notice that 32 is a power of 2 (2 ^ 5, to be exact), so its only unique factors are 1 and 2. Since 43 is odd, it does not have 2 as a factor. Therefore, the only factor that they could have in common is 1, making that the greatest common factor. Method 3: We notice that 43 is a prime number, meaning that its only factors are 1 and itself. Since 32 is not a multiple of 43 (impossible, being smaller), the only common factor they could have is 1.
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.
The GCF of consecutive integers is 1.
The GCF is 1.
(a -b) · (a2+ab+b2) = (a3+a2b+ab2) - (a2b+ab2+b3) = a3 -b3 (a+b) · (a2 -ab+b2) = (a3 -a2b+ab2) +(a2b -ab2+b3) = a3+b3 More generally: (a ∓ b) · (an-1 ±an-2b +an-3b2 ±an-4b3 +±...+a(±b)n-2 +(±b)n-1) = an ± bn. The mixed terms cancel out themselves.
The least common factor of any set of integers is 1.
The greatest common factor for 43 and 32 is 1. Method 1: Factoring completely, we determine that: 32 = 2 * 2 * 2 * 2 * 2 * 1 43 = 43 * 1 The only factor that these two have in common is 1, making this the greatest common factor. Method 2: We notice that 32 is a power of 2 (2 ^ 5, to be exact), so its only unique factors are 1 and 2. Since 43 is odd, it does not have 2 as a factor. Therefore, the only factor that they could have in common is 1, making that the greatest common factor. Method 3: We notice that 43 is a prime number, meaning that its only factors are 1 and itself. Since 32 is not a multiple of 43 (impossible, being smaller), the only common factor they could have is 1.
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.
The exponent tells how many times the base is used as a factor.
The GCF of consecutive integers is 1.
Rodents and small birds
1
x(x - 1)(4x - 15)
The GCF is used to simplify fractions. The LCF is practically useless, since it is always 1.