Question

The greatest common factor (GCF) of two numbers is 26. Which of the following could be the two numbers?
A.
42 and 78
B.
26 and 65
C.
26 and 48
D.
52 and 78

Answer 1

To determine which pair of numbers has a greatest common factor (GCF) of 26, we can examine each option:

A. **42 and 78**
- GCF(42, 78) = 6 (not 26)

B. **26 and 65**
- GCF(26, 65) = 13 (not 26)

C. **26 and 48**
- GCF(26, 48) = 2 (not 26)

D. **52 and 78**
- GCF(52, 78) = 26 (this is correct)

The only option where the GCF is 26 is **D. 52 and 78**.