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# Find the greatest common factor (GCF)

- Example 1:
- Find the greatest common factor for 36 and 56.

- Solution:
- 36 = 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6.
- 56 = 1 × 56, 2 × 28, 4 × 14, 7 × 8.
- The common factors of 36 and 56 are 1, 2, 4.
- The greatest common factor of 36 and 56 is 4.

- Example 2:
- Find the greatest common factor of 18 and 24.

- Solution:
- 18 = 1 × 18, 2 × 9, 3 × 6.
- 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6.
- The common factors of 18 and 24 are 1, 2, 3, 6.
- The greatest common factor of 18 and 24 is 6.

- Note:
- Using the greatest common factor (GCF) to simplyfy fractions.
- Both numerator and denominator of a fraction divide by the greatest common factor (GCF) to get a simplest form of a fraction.