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Q: What are the smallest two numbers that have 871 as their greatest common factor?

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The greatest common factor of 2, 8, and 14 is 2. The greatest common factor of any set of numbers can't be greater than the smallest of the numbers.

The smallest of the two numbers could be 850.

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

45 and 45

479 and 479

the smaller number

The greatest common factor is 13. Both 26 and 91 are divisible by 13. The greatest common factor cannot be larger than the smallest number, so the greatest common factor in this case is the smallest number - 13, since it is a factor of the other two numbers.

1700

45, 90 and 135

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.

1700 and 2550

The largest of the common factors of numbers is known as the greatest common divisor or greatest common denominator. The smallest common factor is called the lowest common divisor.

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