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Calculate the Greatest Common Factor or GCF of 1600 and 2400

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The instructions to find the GCF of 1600 and 2400 are the next:

1. Decompose all numbers into prime factors

16002
8002
4002
2002
1002
502
255
55
1
24002
12002
6002
3002
1502
753
255
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 1600=26 . 52
Prime factors of 2400=25 . 3 . 52

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5

Common prime factors with the lowest exponent: 25, 52

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 25. 52 = 800


Also calculates the:

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