Yes.
2 x 7
2 x 5
The longest factor string for 9 is 3 x 3.
The longest factor string of 44 is contained within the longest factor string of 132.
What are the factor strings of 120
760 2,380 2,2,190 2,2,2,95 2,2,2,5,19
760 2,380 2,2,190 2,2,2,95 2,2,2,5,19
760 380,2 190,2,2 95,2,2,2 19,5,2,2,2
760 380,2 190,2,2 95,2,2,2 19,5,2,2,2
760 380,2 190,2,2 95,2,2,2 19,5,2,2,2
Factor strings are multiplication sentences. 3 x 3 is a factor string for 9.
41 is prime. No strings.
23 is prime. No strings.
760 = 2 × 2 × 2 × 5 × 19
37 is prime. Two factors. No strings.
The GCF is 10.