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Why is greater common factors greater than common factors?
In any list of distinct numbers, one will be greater than the others. In the list of common factors, one will be the greatest.
What are two numbers that have no common factors greater than zero?
All numbers have common factors greater than zero.
What is the least common factor for two numbers if there are no common factors greater than 1?
The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
What are the greater common factors of 40 and 85?
The GCF is 5.
What are 2 numbers that have the LCM of no common factors that are greater than one?
Two numbers that have no common factors greater than one are considered co-prime or relatively prime. Their LCM is their product.
What is the greater common factor of 215 and 125?
Common factors of 215 and 125 are: 1 and 5.
What are the common factors greater then 15 for 55 and15?
There aren't any.
What is the LCM of two numbers that have no common factors greater that 1?
Their product.
What are common factors of 36 and 16 but greater than 10?
There are none.
What is the Lcm of a-b and b-a?
If A and B have no common factors other than one, the LCM is their product.
If the greatest common factor of a and b is 3 what values are possible for the greatest common factor of a squared and b?
a is 3m b is 3n m and n are relatively prime - they do not have any common factors. a2 = 9m2 Since m had no factors in common with n, m2 also has no factors in common with n. We know that 3 is a common factor of a and b. The only new possible factor between a2 and b is the second 3 when a is squared. We do not know whether b had more than one factor of 3. So, the greatest common factor of a2 and b, when the greatest common factor of a and b is 3, is either 3 or 9.
Can the greatest common factor of 16 and 42 be greater than 16?
Well, think about what it means for something (say a number c) to be the greatest common factor of 2 numbers (say a and b *non-zero*).It means that c is the largest integer such that a and b are both divisible by c.If c > a, then how can a be divisible by c?If c > b, then how can b be divisible by c?Therefore c < a & bAs for 16 and 42:16 = 2 x 2 x 2 x 242 = 2 x 3 x 7The only shared (or common) prime factor is 2. Therefore the GCF is 2.Other answer:No, GCF(16,42) can't be greater than 16.GCF of two numbers a and b(where a>b) is always smaller than or equal to a.But why it can't be greater than a?GCF means greatest common factor, the greatest factor of a is a, and there can be many common factors of a and b. But a(factor of a) is the largest among all the common factors, so GCF can't be greater than a. Prime factorization of 16 = 2x2x2x2Prime factorization of 42 = 2x3x7What is common in the factorization of 16 and 42? Only 2 is common so GCF is 2.
