What is the greatest common factor of 45 and 54?(1 point)
Responses
45
45
3
3
1
1
9
9
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: Prime Factorization of 45:
45 can be factored as follows:
45 = 3 * 3 * 5
Step 2: Prime Factorization of 54:
54 can be factored as follows:
54 = 2 * 3 * 3 * 3
Step 3: Finding the Common Factors:
To find the GCF, we need to identify the common prime factors of both numbers. In this case, the common prime factors are 3 and 3.
Step 4: Determining the GCF:
To determine the GCF, we multiply the common prime factors:
GCF = 3 * 3 = 9
Therefore, the greatest common factor of 45 and 54 is 9.