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# How can you use the prime factorizations of two numbers to determine if they realatively prime?

Updated: 11/4/2022

Wiki User

13y ago

List the prime factorisations side by side in ascending order.

If any prime factor is on both lists they are not relatively prime. If the two lists are disjoint, the numbers are relatively prime.

Wiki User

13y ago

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Q: How can you use the prime factorizations of two numbers to determine if they realatively prime?
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### How can you use the prime factorization of two numbers to determine whether they are relative prime?

If the prime factorizations have no prime factors in common, the numbers are relatively prime.

### How can you use the prime factorization of two numbers to determine whether they are relatively prime?

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

### Why woul you determine prime factorization of only composite numbers?

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

### How can you use prime factorization to determine whether two numbers are relatively prime?

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

### How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

If the prime factorizations have no factors in common, the LCM is the product of them.

### What kind of numbers must always use with a prime factorization?

Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.

### How can you determine whether the gcf of two numbers is one by looking at their prime factorizations?

If there are no prime factors in common, the GCF is 1.

### Does prime factorization of composite numbers include prime and composite numbers?

No, prime factorizations consist entirely of prime numbers.

### How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?

If none of the prime factors are in common, the LCM will be the product of the two.

### What r prime factorizations?

Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.

### Where in maths are prime numbers used?

Prime factorizations, for one example.

### What is the prime factorization of a negative?

Negative numbers don't have prime factorizations.