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# 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?

Updated: 11/18/2022

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11y ago

the smaller number

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11y ago

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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 greatest common factor of 2 numbers is 850 What is the smallest of these 2 numbers could be?

The smallest of the two numbers could be 850.

1700 = 850 X 2

### How does finding the prime factorization of a group of numbers help you to find their greatest common factor?

If you take all the common prime factors between numbers and multiply them it will give you the gcf.

### How are common factors and greatest common factors alike and dislike?

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.

### What is the greatest common factor of 18 20 and 26?

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.

Related questions

### What is the difference between finding the Least common denominator and finding the greatest common factor?

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.

### The greatest common factor of 2 numbers is 850 What is the smallest of these 2 numbers could be?

The smallest of the two numbers could be 850.

### When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?

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.

### How do you get the greatest common factor on a math problem?

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 common factor of two or more given numbers?

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.

479 and 479

### Is the Greatest common factor of a pair of numbers even greater than both numbers?

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.

1700

### The greatest common factor of two numbers is 850 Neither number is divisible by the other What is the smallest that these two numbers could be?

The smallest possible pair of numbers is 1700 and 2550.

### What is the greatest common factor of 14 8 and 2?

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.

### What is the greatest common multiple of 18 and 27?

The greatest common multiple of any set of numbers is infinite.

this is hard