Numbers and algebra
Greatest common factor
The largest positive integer that divides each supplied integer without a remainder.
Common notationgcf(a,b)
In one sentence
What does Greatest common factor mean?
The largest positive integer that divides each supplied integer without a remainder.
How it is written
gcf(a,b)
A compact example
The greatest common factor of 18 and 24 is 6.
Other names and search terms
greatest common divisor, gcd.
Where this fits
When should you learn Greatest common factor?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolUsually introduced
- 2High schoolGreater depth
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Arithmetic
- Algebra
- Basic arithmetic
- Equations
- Functions
- Precalculus
Algebra is part of the calculation language used throughout the path.
Open the Zero-to-QM pathClear answers
Questions about Greatest common factor
What does Greatest common factor mean in mathematics?
The largest positive integer that divides each supplied integer without a remainder.
How is Greatest common factor written?
A common notation is gcf(a,b).
What is an example of Greatest common factor?
The greatest common factor of 18 and 24 is 6.