6 — Greatest Common Factor

Greatest Common Factor

Solution & Explanation · ID: E73A6076

Question

Find the GCF of 10 and 15.

Hint

Try using the listing method first.

Concept

The Greatest Common Factor (GCF) is the largest number that divides evenly into all given numbers. We can find it by listing factors or using prime factorization.

Show Answer

5

Show Solution
1

List all factors of 10: 1, 2, 5, 10

2

List all factors of 15: 1, 3, 5, 15

3

Find common factors: 1, 5

4

The greatest common factor is 5

Two columns showing factors. Left column labeled '10:' lists 1, 2, 5, 10. Right column labeled '15:' lists 1, 3, 5, 15. Common factors 1 and 5 are circled in both columns. The number 5 is highlighted as the GCF.