Questions: Find the GCF of each set of numbers 2. 21,45 3. 16,56

Find the GCF of each set of numbers 2. 21,45 3. 16,56
Transcript text: Find the GCF of each set of numbers 2. 21,45 3. 16,56
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Solution

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Solution Steps

Step 1: Find the GCF of 21 and 45

To find the greatest common factor (GCF) of 21 and 45, we first list the prime factors of each number:

  • \(21 = 3 \times 7\)
  • \(45 = 3 \times 3 \times 5\)

The common prime factor is 3. Therefore, the GCF of 21 and 45 is 3.

Step 2: Find the GCF of 16 and 56

To find the GCF of 16 and 56, we first list the prime factors of each number:

  • \(16 = 2 \times 2 \times 2 \times 2\)
  • \(56 = 2 \times 2 \times 2 \times 7\)

The common prime factors are \(2 \times 2 \times 2 = 8\). Therefore, the GCF of 16 and 56 is 8.

Final Answer

  • The GCF of 21 and 45 is \(\boxed{3}\).
  • The GCF of 16 and 56 is \(\boxed{8}\).
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