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Q: If your finding the Greatest Common Factor of 2 given numbers and the smallest number is a factor of a larger number then what must the Greatest Common Factor be?

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The smallest of the two numbers could be 850.

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.

By finding the factors in both numbers and then finding the one that is greatest in common. For example the G.C.F for 45 and 36 is 9.

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.

I think "smallest greatest" is my new favorite oxymoron. If the GCF of two numbers is 850, the smallest those two numbers could be is 850 and 850. If they need to be different, the smallest they could be is 850 and 1700.

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.

479 and 479

45 and 45

product

The smallest possible pair of numbers is 1700 and 2550.

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.

1700

1700 and 2550

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.

45, 90 and 135

this is hard

The greatest common divisor can be found by finding the HCF of the two numbers.The greatest common divisor of the given two numbers, i.e. 21 and 35 is 7.

The GCF of 18, 20, and 26 is 2. The GCF of a set of numbers can't be any larger than the smallest difference between the numbers. The smallest difference within this set of numbers is 2. Since all of the numbers in the set are even, 2 is the greatest common factor.

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.

The greatest common factor, or GCF, is the largest number that can go into a set of given numbers evenly. The least common multiple, or LCM, is the smallest number that a given set of numbers can go into evenly.

958 and 1437

LCD is the smallest number that both numbers can go into and GCD is the biggest number that goes into both numbers

1700 and 2550

850 and 1700