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Q: What is the gcf of 45 and 56 using prime factorization?

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2 x 19 = 38 3 x 3 x 5 = 45 No common prime factors; the GCF is 1.

Prime factorization of 45 = 3x3x5Prime factorization of 60 = 2x2x3x5Prime factorization of 160 = 2x2x2x2x2x5Only common factors are 5 (and 1).Therefore GCF = 5.

45 = 32 × 5

24 = 2 x 2 x 2 x 3 45 = 3 x 3 x 5 GCF = 3

23 x 5 = 40 32 x 5 = 45

45 = 32 x 51

450

That's prime factorization. 45 15,3 5,3,3

You need at least two numbers to find a GCF no matter what method you use.

how do i get the prime factorization of 45

3 x 3 x 5 = 452 x 2 x 2 x 7 = 56No common prime factors, the GCF is 1.

It is: 3*3*5 = 45

prime factorization of 4545 = 3 * 1515 = 3 * 5so prime factors are 3,3,5

It is: 360

Prime factorization of 45 is 3x3x5. Prime factorization of 65 is 5x13.

The prime factorization of 45 is:3 X 3 X 5.Using exponents, it is written as:32 x 5.3^2 x 5

1

126 o:-)

GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75. The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor. Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.

45 5, 9 5, 3, 3

The GCF of 36, 45, and 56 is 1. The prime factorization of 36 is 2*2*3*3 The prime factorization of 45 is 3*3*5 The prime factorization of 56 is 2*2*2*7 Thus, the only common factor of the set is 1.

2 x 3 x 5 = 303 x 3 x 5 = 45Select the common factors.3 x 5 = 15, the GCF

3 x 7 = 21 3 x 3 x 5 = 45 The GCF is 3.

3 x 3 x 5 = 45 2 x 2 x 2 x 7 = 56 No common prime factors. The GCF is 1.

It is: 22*32*52 = 900