Final answer:
The greatest common factor (GCF) of 90 and 135 is 45, which is obtained by listing the factors of both numbers and identifying the largest factor they have in common.
Step-by-step explanation:
Greatest Common Factor of 90 and 1To find the greatest common factor (GCF) of two numbers, we first list the factors of each number and then identify the largest factor that the numbers have in common. Let's find the factors of 90 and 135.Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 9Factors of 135: 1, 3, 5, 9, 15, 27, 45, 13The common factors of 90 and 135 are 1, 3, 5, 9, 15, and 45.
The greatest of these is 45, making it the greatest common factor.Therefore, the answer is c) 45.To find the greatest common factor (GCF) of 90 and 135, we need to list the factors of each number and then find the largest number that appears in both lists. The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 67, 135. The largest number that appears in both lists is 45, so the GCF of 90 and 135 is 45.