Question

The greatest common factor (GCF) of 2 numbers is 26. Which of the following could be the two numbers?

A. 52 and 78
B. 104 and 130
C. 65 and 91
D. 78 and 104

Answer 1

The greatest common factor (GCF) of two numbers is 26. The possible pairs with a GCF of 26 are 52 and 78, 104 and 130, and 78 and 104.

Step-by-step explanation:

The **greatest common factor (GCF)** of two numbers is the largest number that divides evenly into both numbers. In this case, the GCF of the two numbers is 26. To find the possible numbers, we can check if each pair of numbers has 26 as a common factor.

Let's go through each option:

1. A. 52 and 78: The GCF of 52 and 78 is 26, so this option is possible.
2. B. 104 and 130: The GCF of 104 and 130 is 26, so this option is possible.
3. C. 65 and 91: The GCF of 65 and 91 is 13, not 26, so this option is not possible.
4. D. 78 and 104: The GCF of 78 and 104 is 26, so this option is possible.

Therefore, the two numbers that could have a GCF of 26 are:

• A. 52 and 78
• B. 104 and 130
• D. 78 and 104