To find the Greatest Common Factor (GCF) of the numbers 14, 22, and 24, we can follow these steps:
1. Understand the Concept: The GCF of a set of numbers is the largest positive integer that divides each of the numbers without leaving a remainder.
2. Find the GCF of the First Two Numbers:
- Consider the numbers 14 and 22.
- The factors of 14 are: 1, 2, 7, 14
- The factors of 22 are: 1, 2, 11, 22
- The common factors of 14 and 22 are: 1, 2
- The greatest common factor of 14 and 22 is 2.
3. Use the GCF to Find the GCF with the Third Number:
- Now we need to find the GCF of 2 (the result of the previous step) and the third number, which is 24.
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
- The common factors of 2 and 24 are: 1, 2
- The greatest common factor of 2 and 24 is 2.
4. Conclusion:
- Therefore, the GCF of the set of numbers 14, 22, and 24 is 2.
Hence, the step-by-step solution shows that the GCF of 14, 22, and 24 is 2.
