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What is the GCF (Greatest Common Factor) of 8080 and 7070 ?

Question

What is the GCF (Greatest Common Factor) of 8080 and 7070 ?

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Solution

To find the Greatest Common Factor (GCF) of 8080 and 7070, you can use the Euclidean algorithm, which is a way to find the greatest common divisor of two numbers. Here are the steps:

  1. Divide the larger number (8080) by the smaller number (7070). Find the remainder.
  2. Replace the larger number with the smaller number and the smaller number with the remainder obtained in step 1.
  3. Repeat steps 1 and 2 until the remainder is 0. The GCF is the non-zero remainder just before the remainder becomes 0.

Let's do the calculations:

  1. 8080 ÷ 7070 = 1 remainder 1010
  2. Now replace: 7070 becomes the larger number and 1010 becomes the smaller number.
  3. 7070 ÷ 1010 = 7 remainder 0

So, the GCF of 8080 and 7070 is 1010.

This problem has been solved

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