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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 98 and 210 is 14

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Q: What is the greatest common factor of 98 and 210?
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How do you find the greatest common factor of 210 and 308?

* One method is to factor each number into prime factors, and see what factors they have in common. 210 = 2x105 = 2x5x21 = 2x5x3x7, or 2x3x5x7. 308 = 2x154 = 2x2x77 = 2x2x7x11. The GCF is 2x7 = 14. * Another method (more efficient, especially for larger numbers) is Euclid's algorithm. In this case for example, the greatest common factor of 308 and 210 is the same as the greatest common factor of 210 and 98. This latter number is the remainder of the division of 308 by 210. Continue until one of the numbers is zero. In that case, the other one is the greatest common factor. 308/210 = 1, remainder 98 210/98 = 2, remainder 14 98/14 = 7, remainder 0. The previous remainder (14) is the GCF.


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The greatest common factor of 34 and 98 is 2.


What is the highest common factor of 98 and 210?

The GCF is 14.


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The Greatest Common Factor (GCF) of 21 and 98 is 7.


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The Greatest Common Factor (GCF) is: 1