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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.
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.
What is the co-prime numbers?
Two numbers are considered to be co-prime if they share no common prime factors, that is, if their GCF is 1.
What is the gcf of 751 and 1000?
The gcf is 1, they have no common factors. We call these numbers relatively prime.
What is the Greatest common factor of 545 and 1024?
To find the greatest common factor (GCF), first find the prime factorization of the two numbers. The GCF is the product of all of the prime factors the two numbers have in common. If two numbers have no common factors, the GCF is 1. (Since all numbers are divisible by 1.) Prime factors of 545: 5, 109 Prime factors of 1024: 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 They have in common: Nothing. The GCF is 1.
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 is the largest factor that two numbers share is called?
The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers. eg Number A = 18, Prime factors = 2*3*3 Number B = 24, Prime factors = 2*2*2*3 The Prime factors that A and B have in common are 2 and 3 Multiply them together = 6 6= the GCF of 18 and 24
How do you figure greatest common factor?
To find the greatest common factor (GCF), first find the prime factorization of the two numbers. The GCF is the product of all of the prime factors the two numbers have in common. If two numbers have no common factors, the GCF is 1. (Since all numbers are divisible by 1.) Example: Find the GCF of 60 and 24. Prime factors of 60: 2, 2, 3, 5 Prime factors of 24: 2, 2, 2, 3 Common factors: 2, 2, 3 GCF: 2x2x3=12 Example: Find the GCF of 17 and 21. Prime factors of 17: 17 Prime factors of 21: 3, 7 Common factors: None (1). GCF: 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.
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 are relativley prime numbers?
Positive integers are considered relatively prime when their GCF is 1, that is, when they have no common prime factors.
What is the greatest common factor of two prime numbers?
The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.The GCF is 1.
