Co-prime numbers
Find the factor pairs of each number. The greatest factor in common is the GCF. A hint, the definition of a prime number is a number with only two factors: 1 and itself.
The GCF and LCM of 10 and 10 is 10.
GCF of a composite number and a prime number is always 1. Here, 5 is a prime number therefore, gcf is 1.
The ones that are relatively prime, or co-prime.
The LCM is the other number.
By its very definition, a single number cannot have a greatest common factor. The word "common" is there to indicate common to more than one integer. Of the 11 pairs, triplets and quads that can be drawn from the four numbers, 6 have GCF = 3, 4 have GCF = 6, and 1 has GCF = 15.
The GCF is 3.
Any two prime numbers have a greatest common factor of 1. Examples: The GCF of 5 and 19 is 1. The GCF of 3 and 7 is 1. The GCF of 23 and 29 is 1. A prime number and any other number that is not a multiple of it have a greatest common factor of 1. Examples: The GCF of 2 and 9 is 1. The GCF of 7 and 16 is 1. The GCF of 13 and 60 is 1. Other pairs of numbers without any prime factors in common also have a greatest common factor of 1. Examples: The GCF of 4 and 9 is 1. The GCF of 21 and 25 is 1. The GCF of 72 and 77 is 1.
The factor pairs (not the GCF) of 16 are (16,1)(8,2)(4,4)
The two that are relatively prime.
GCF of 1 and any natural number is always 1. Therefore, GCF of 1 and 24 is 1.
The GCF is 1. Anytime there are two consecutive integers, their GCF will be 1.