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Answer:
The greatest common factor of 35 and 75 is 5.
The common factors of 35 and 75 are 1 and 5.
Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.
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 35 are 1, 5, 7, and 35.
The factors of 75 are 1, 3, 5, 15, 25, and 75.
The common factors are 1 and 5. Therefore, the greatest common factor is 5.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 35 are 5 and 7.
The prime factors of 75 are 3, 5, and 5.
The prime factors in common are a single 5, so the greatest common factor is 5.
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What is the greatest common factor of 75 150 and 225?
The greatest common factor of 75, 150, and 225 is 75
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The greatest common factor of 21 and 75 is 3.
What is the greatest common factor of 75 and 25?
25 is the greatest common factor of 75 and 25. 3 x 25 = 75.
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What is the greatest common factor of 30 75 and 90?
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