Fin GCF of each pair 21. $$ 24,48 \mathrm{~m} $$ 24. $$ 32 a, 48 \mathrm{~b} $$ 27. $$ 36 \mathrm{k}, 144 \mathrm{~km} $$

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Sure, let's find the **Greatest Common Factor (GCF)** for each pair of terms you've provided.

### 21. $$ 24 $$ and $$ 48m $$

- **Factors of 24**: $$ 1, 2, 3, 4, 6, 8, 12, 24 $$
- **Factors of 48m**: $$ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, m, 2m, 3m, \ldots $$

**GCF**: The largest common factor is **24**.

$$
\boxed{24}
$$

---

### 24. $$ 32a $$ and $$ 48b $$

- **Factors of 32**: $$ 1, 2, 4, 8, 16, 32 $$
- **Factors of 48**: $$ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 $$

**Common Factors of 32 and 48**: $$ 1, 2, 4, 8, 16 $$

**GCF**: The largest common factor is **16**.

Since $$ a $$ and $$ b $$ are different variables with no common factors, they are not included in the GCF.

$$
\boxed{16}
$$

---

### 27. $$ 36k $$ and $$ 144km $$

- **Factors of 36**: $$ 1, 2, 3, 4, 6, 9, 12, 18, 36 $$
- **Factors of 144**: $$ 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 $$

**Common Factors of 36 and 144**: $$ 1, 2, 3, 4, 6, 9, 12, 18, 36 $$

**GCF**: The largest common factor is **36**.

For the variables:
- $$ 36k $$ has $$ k $$
- $$ 144km $$ has $$ k $$ and $$ m $$

The common variable is $$ k $$.

$$
\boxed{36k}
$$

---

### Summary

1. **GCF of $$ 24 $$ and $$ 48m $$**: $$ \boxed{24} $$
2. **GCF of $$ 32a $$ and $$ 48b $$**: $$ \boxed{16} $$
3. **GCF of $$ 36k $$ and $$ 144km $$**: $$ \boxed{36k} $$
- **21.** GCF of 24 and 48m is **24**. - **24.** GCF of 32a and 48b is **16**. - **27.** GCF of 36k and 144km is **36k**.

Fin GCF of each pair
21.
24.
27.

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Fin GCF of each pair 21. 24. 27.