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Factor the expression using GCF 39-13

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Answer to a math question Factor the expression using GCF 39-13

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Neal
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105 Answers
Solution:
1. Identify the numbers in the expression: 39 and 13.

2. Determine the greatest common factor (GCF) of the numbers:
- The factors of 39 are: 1, 3, 13, 39
- The factors of 13 are: 1, 13
- The common factors are: 1, 13
- Therefore, the greatest common factor is 13.

3. Factor the expression by dividing each term by the GCF:
- 39 - 13 = 13 \times 3 - 13 \times 1
- Factor out the GCF 13: 13(3 - 1)

4. Simplify the expression inside the parentheses:
- 3 - 1 = 2
- Therefore, the factored expression is: 13 \times 2

5. Simplified result:
- 13 \times 2 = 26

Thus, the expression 39 - 13 factors to 13(2) or simplifies to 26.

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