What is the greatest common factor of 45 and 54?(1 point)
Responses
9
9
1
1
45
45
3
3
The greatest common factor of 45 and 54 is 9.
To find the greatest common factor (GCF) of 45 and 54, we can use the method of prime factorization:
Step 1: Find the prime factorization of 45:
45 = 3 × 3 × 5
Step 2: Find the prime factorization of 54:
54 = 2 × 3 × 3 × 3
Step 3: Identify the common prime factors and their minimum exponent:
The common prime factor is 3, with an exponent of 1.
Step 4: Find the product of the common prime factors:
GCF = 3
Therefore, the greatest common factor of 45 and 54 is 3.
To find the greatest common factor (GCF) of 45 and 54, you need to determine the largest number that divides evenly into both numbers.
One way to find the GCF is to list the factors of each number and find the largest one they have in common.
The factors of 45 are: 1, 3, 5, 9, 15, 45.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
By comparing the lists of factors, we can see that the largest factor that both 45 and 54 share is 9. Therefore, the greatest common factor of 45 and 54 is 9.
So, the correct answer is:
The greatest common factor of 45 and 54 is 9.