Janet wants to put 45 sunflower seeds, 81 tomato plants, and 63 corn stalks in her garden for the following season. If she puts the same number of plants in each row and if each row only has one type of plant, what is the greatest number of plants that Janet can put in one row?

GCF

45- 1,5,9,45
81- 1,3,9,27,81
63- 1,3,7,9,21,63

Answer is 9.

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Yes, 9.

To find the greatest number of plants that Janet can put in one row, we need to find the greatest common divisor (GCD) of the given numbers: 45, 81, and 63. The GCD represents the largest number that divides all the given numbers without leaving a remainder.

To find the GCD, we can use the method of prime factorization.

Step 1: Prime Factorization of the Numbers
Let's prime factorize each number:

45 = 3 * 3 * 5
81 = 3 * 3 * 3 * 3
63 = 3 * 3 * 7

Step 2: Find Common Prime Factors
Identify the common prime factors among the prime factorizations:

Common prime factors = 3 * 3 = 9

Step 3: Calculate the GCD
Multiply the common prime factors:

GCD = 9

So, the greatest number of plants Janet can put in one row is 9.

Factors of

45: 5, 9, 3, 15
81: 9
63: 9, 7, 3, 21

What is the greatest common factor of these numbers?