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The greatest common factor (GCF) of 27 and 72 is 9.
The common factors of 27 and 72 are 1, 3, and 9.
Methods:
One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.
The factors of 27 are 1, 3, 9, and 27.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 3, and 9. Therefore, the greatest common factor is 9.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 27 are 3, 3, and 3.
The prime factors of 72 are 2, 2, 2, 3, and 3.
The prime factors in common are 3 and 3, so the greatest common factor is 3 x 3 = 9.
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What is the greatest common factor of 27 90 135 and 72?
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What is the greatest common factor of 72 and 144?
The GCF of 72 and 144 is 72. Since 72 is a factor of 144, it is automatically the GCF.
