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To find the highest common factor (HCF) of 735 and 945, we first need to factorize both numbers. The prime factors of 735 are 3 x 5 x 7 x 7, and the prime factors of 945 are 3 x 3 x 3 x 5 x 7. To find the HCF, we identify the common prime factors and multiply them together: 3 x 5 x 7 = 105. Therefore, the highest common factor of 735 and 945 is 105.

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More answers

The factors of 735 are: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735.

The factors of 945 are: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.

The common factors are: 1, 3, 5, 7, 15, 21, 35, 105.

The Greatest Common Factor: 105

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Wiki User

10y ago
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105 is the highest common factor

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Wiki User

15y ago
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Q: What is the highest common factor of 735 and 945?
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