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Q: What is the gcf of any two prime numbers and composite numbers?
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What are two composite numbers with the GCF of 1?

Any two composite numbers who do not share the same prime factors.15 = 5x322 = 11x2So 15 and 22 have a GCF of 1


What is the gcf of 52 and is it prime or composite?

52 is composite. You need at least two numbers to find a GCF.


What composite numbers have GCF of 1?

Any consecutive composite integers, like 34 and 35.


Is the greatest common factor of two numbers a composite number?

The numbers are relatively prime, or co-prime.


Why do you only need the common prime factors when finding the greatest common factor?

All numbers (except 0 and 1) are either prime or composite. All composite numbers can be expressed as the product of prime factors. So the GCF will either be a single prime number or a combination of prime numbers. Of course, if there are no common prime numbers, the GCF is 1.


What does it mean when too numbers have the GCF of 1?

When 2 numbers have their GCF = 1, it means that the numbers are relatively prime to each other, which doesn't necessarily mean that they are prime on their own. There are 2 cases where relative prime can be guarenteed: All prime numbers are guarenteed to be relatively prime to all other prime numbers. Any prime number is guarenteed to be relatively prime to any composite number smaller than the prime number. If neither of the above 2 conditions are met, manual calculations must be done to find any existing GCF.


Which pair of composite numbers has GCF of 1?

Any two coprime numbers


Do all composite numbers share a greatest common factor that is greater than 1?

No. Two composite numbers, like 4 and 9, can have a GCF of 1. They are said to be relatively prime or co-prime.


What numbers have a prime gcf?

Any consecutive even numbers.


What is the gcf of any two distinct prime numbers?

The GCF is 1.


What is the gcf of all composite numbers under 100?

The GCF of all the composite numbers under 100 is 1. For e.g 4 & 9 are composite numbers & their GCF is 1, so if we take other composite numbers along with 4 & 9 the GCF will be 1.


What is the GCF of 23 and 29 with work?

23 and 29 are both prime numbers. The GCF of any two prime numbers is 1.