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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.
What is the GCF of 27 and 30?
The GCF is 3.3
What the gcf of 45 and 76?
The GCF of 45 and 76 is 1 The prime factors of 45 are 3,3,5 The prime factors of 76 are 2,2,19 Since the share no prime factors, the GCF can only be 1.
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.
What is the GCF of 56 and 81?
The GCF is 1.The prime factors of 56 are 2,2,2 and 7The prime factors of 81 are 3,3,3 and 3The GCF is 1.
How can you tell by looking at the prime factorization of two whole numbers that their gcf is 1?
If the prime factors of the first whole number are all different from the prime factors of the second whole number, then the GCF is 1.
When is the GCF 1?
When there are no common prime factors.
What is the gcf of 34 51 102?
To find the greatest common factor (GCF) of 34, 51, and 102, we first need to find the prime factors of each number. The prime factors of 34 are 2 and 17, the prime factors of 51 are 3 and 17, and the prime factors of 102 are 2, 3, and 17. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 17. Therefore, the GCF of 34, 51, and 102 is 17.
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 find the gcf of two numbers is 1by looking at their prime factorazations?
If they have no prime factors in common, their GCF is 1.
How do you use prime factorization find the GCF of two numbers?
The first step of finding the GCF is to split the numbers into their prime factors. For instance, if I wanted to find the GCF of 30 and 105, I would split these up into: 30 = 2x3x5 105 = 3x5x7 The next step would be to identify any common prime factors. In this case both numbers have 3 and 5 as prime factors, so these would be the ones we use. To find the GCF, you simply multiply these two numbers together: 3x5 = 15 So 15 would be the GCF in that case.
Are 3 and 5 considered prime factors because their GCF is 1?
No, they are considered to be prime factors because they are prime numbers.
