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The GCF is 3.

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7y ago

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What is the greatest common factor of 18 and 105?

18 = 2 x 3 x 3 105 = 3 x 5 x 7 the only common factor is a 3, and also the gcm is 3


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Since 18 is a factor of 90 and it is the largest factor of itself, the greatest common factor of 18 and 90 is 18.Since 18 is a factor of 90, it is automatically the GCF.


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The GCF of 90 and 105 is 5. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105. The common factors are 1, 3, 5, and 15. Therefore, the greatest common factor is 15. The greatest common factor can also be determined from the prime factors, multiplying the common prime factors together. The prime factors of 90 are 2, 3, 3, and 5. The prime factors of 105 are 3, 5, and 7. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.


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