The factors of 11 are 1, 11 and the factors of 4 are 1, 2, 4. 11 and 4 have only one common factor which is 1. This implies that 11 and 4 are co-prime. Hence, the Greatest Common Factor (GCF) of 11 and 4 is 1.
What two numbers have no common factors?
When there is no common factor for the given numbers, LCM is the product of the given numbers. eg. LCM of 2, 3, 4 = 12 as 2 is a factor of 4 but 4 & 3 are relative prime and hence the answer.
What is no common factor?
Relative Primes Sometimes, two numbers do not have any prime factors in common. For example, the prime factorization of 40 is 2×2×2×5 and the prime factorization of 21 is 3×7. Since 40 and 21 have no common prime factors, they are said to be relatively prime, and their greatest common factor is 1.
Which is the greatest factor of two numbers?
The GCF of two numbers is the greatest number that is a factor of both of the numbers. Take the numbers 50 and 30. Their greatest common factor is 10, since 10 is the greatest factor that both numbers have in common.
Is it possible for two or more numbers not to have a common factor?
Two or more numbers that have no common positive integer factor other than are called “ coprime ”. Any two or more prime numbers are necessarily coprime. For example: 5, 11, 37. Two or more composite numbers can also be coprime providing their sets of prime factors are disjoint. For example: 21, 26, 55.
Which is the most common factor of 12?
The factors of 12 include: 1, 2, 3, 4, 6, and 12. Thus, the common factors of 16 and 12 are: 1, 2, and 4. Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.
Which is a common factor of 8 and 11?
The correct answer is a 5 (8 a – 11). Incorrect. 8 is not a common factor of 8 and 11. If 8 a ( a 5 – 3) were expanded it would become 8 a 6 – 24 a, not 8 a 6 – 11 a 5.
