Answer:
GCF < 2 : 2 and 7, 12 and 13
GCF = 2 : 2 and 6
GCF = 3 : 3 and 6
GCF > 3 : 4 and 12, 6 and 18
Step-by-step explanation:
The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.
(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.
(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.
(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.
(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.
(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.
