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How can you find the gcf of two numbers without knowing the factors?
If one of the numbers is a multiple of the other, the smaller number is the GCF. If the two numbers are prime numbers, the GCF is 1. If the numbers are consecutive, the GCF is 1. If the numbers are consecutive even numbers, the GCF is 2.
What is the greatest common factor of 58 and 60 and are the numbers are relatively prime?
The GCF is 2 which means they are not relatively prime.
What is the GCF of two prime numbers?
A prime number is a number with exactly 2 divisors: 1 and itself. Because of this, the only common divisor of two distinct prime numbers is 1, thus 1 is the gcf. So the correct answer would be: Given two prime numbers, namely x and y, the gcf is --- 1, if x and y are unequally --- x, if x=y.
What is relatively prime?
Relatively Prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.
Are 2 and 3 relatively prime numbers?
Yes. In general, if you have two different prime numbers, they will also be relatively prime.
What is the GCF of 22 and 64 and are they relatively prime?
No two even numbers are relatively prime. The GCF is 2.
What is the HCF of 2 prime nos?
The GCF of two prime numbers is 1.
What are 2 numbers that have gcf of 13?
13 x p and 13 x q with p and q two different prime numbers
What is the HCF of 2 co-prime numbers?
The GCF is 1.
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.
What is the special name for 2 numbers that have the GCF of 1?
Co-prime or relatively prime.
What is the GCF of 32 90 and 30?
Prime factorization of 32 = 2x2x2x2x2 Prime factorization of 90 = 2x3x3x5 Prime factorization of 30 = 2x3x5 What is common in the prime factorization of the numbers? Only 2 is common, so GCF is 2.
How can you find the gcf of two numbers without knowing the factors?
If one of the numbers is a multiple of the other, the smaller number is the GCF. If the two numbers are prime numbers, the GCF is 1. If the numbers are consecutive, the GCF is 1. If the numbers are consecutive even numbers, the GCF is 2.
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.
Why is the least common multiple of 2 prime numbers their product?
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.
What is the Highest common factor of 28 and 68?
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. Prime factors of 28: 2, 2, 7 Prime factors of 68: 2, 2, 17 They have in common: 2, 2. 2x2=4 The GCF is 4.
Is the GCF of two even numbers sometimes 2?
Yes. For example: gcf(2, 2) = 2 gcf(2, 10) = 2 gcf(10, 14) = 2 In general, for the gcf to be 2, you need two numbers of the form 2a and 2b, where a and be are "relatively prime", meaning they have no common factors.
