What is the term for a number that divides evenly into both the numerator and the denominator of a fraction?

The term that refers to a number that divides evenly into both the numerator and the denominator of a fraction is known as a common factor. A common factor is a number that appears in the factorization of two or more numbers, and it allows for simplification of fractions by dividing both parts by that number. For example, if you have the fraction 12/16, the number 4 is a common factor of both 12 and 16, allowing the fraction to be simplified to 3/4.

This understanding helps in reducing fractions to their simplest form and is crucial in various mathematical operations involving fractions. Knowing how to identify common factors can enhance your ability to work effectively with fractions and improve problem-solving skills related to them.