Calculate the Greatest Common Factor or GCF of 520 and 650
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The instructions to find the GCF of 520 and 650 are the next:
1. Decompose all numbers into prime factors
520 | 2 |
260 | 2 |
130 | 2 |
65 | 5 |
13 | 13 |
1 |
650 | 2 |
325 | 5 |
65 | 5 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 520 | = | 23 . 5 . 13 |
Prime factors of 650 | = | 2 . 52 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5 , 13
Common prime factors with the lowest exponent: 21, 51, 131
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 = 21. 51. 131 = 130
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