2 x 3 x 7 = 42
3 x 5 x 7 = 105
3 x 7 = 21, the GCF
The greatest common factor (GCF) of 54 and 105 is 3. To find the GCF, you need to determine the prime factors of each number. The prime factorization of 54 is 2 * 3^3, and the prime factorization of 105 is 3 * 5 * 7. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 3.
The solutions are: GCF(10, 105) = 5 GCF(22) = 22 How? Let's work out the factorization of each term: 1. Find the gcf of 10 and 105. Factor out each term to get: 10 = 2 x 5 105 = 5 x 21 = 5 x 3 x 7 Since 10 and 105 have the common factors of 5, the GCF is 5. 2. Find the GCF of 22. Since 22 is the only number, 22 is the gcf.
The GCF of 63, 84, and 105 = 21 The prime factorization of 63 = 3^2 x 7 The prime factorization of 84 = 2^2 x 3 x 7 The prime factorization of 105 = 3 x 5 x 7 The GCF is the product of the lowest power of the primes common to all number factorizations, so the gcf = 3 x 7 = 21
105 - 1, 3, 5, 21, 35, 105 You can not have a GCF of just one number. The factors of 105 are written and have nothing to be compared to to find the GCF.
To find the greatest common factor (GCF) of 42, 70, and 105, we first need to find the prime factorization of each number. 42 = 2 x 3 x 7 70 = 2 x 5 x 7 105 = 3 x 5 x 7 The GCF is the product of the common prime factors raised to the lowest power they appear in all three numbers. Therefore, the GCF of 42, 70, and 105 is 7.
The GCF is 105
The GCF of 55 and 105 is 5.
Prime factorization for 135 = 3 x 3 x 3 x 5Prime factorization for 351 = 3 x 3 x 3 x 13GCF of (135,351) = 27
840 and 945 have a GCF of 105. 945 and 1050 have a GCF of 105.
At least two or more numbers are needed to find their GCF
The first step of finding the GCF is to split the numbers into their prime factors. For instance, if I wanted to find the GCF of 30 and 105, I would split these up into: 30 = 2x3x5 105 = 3x5x7 The next step would be to identify any common prime factors. In this case both numbers have 3 and 5 as prime factors, so these would be the ones we use. To find the GCF, you simply multiply these two numbers together: 3x5 = 15 So 15 would be the GCF in that case.
The GCF of 420, 735, and 945 is 105.The prime factorization of 420 is 2x2x3x5x7The prime factorization of 735 is 3x5x7x7The prime factorization of 945 is 3x3x3x5x7(1) List the prime factors of each number.(2) Multiply those factors all numbers in the set have in common. If there are no common prime factors, the GCF is 1. (Those factors are the ones in bold type.)As you can see the GCF is 3x5x7 or 105