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Calculate the Greatest Common Factor or GCF of 208, 225 and 240

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The instructions to find the GCF of 208, 225 and 240 are the next:

1. Decompose all numbers into prime factors

2082
1042
522
262
1313
1
2253
753
255
55
1
2402
1202
602
302
153
55
1

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

Prime factors of 208=24 . 13
Prime factors of 225=32 . 52
Prime factors of 240=24 . 3 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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