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777dan777 [17]
3 years ago
11

Drag each pair of numbers to show if their greatest common factor (GCF) is less than 2, equal to 2, equal to 3, or greater than

3.
HEELLLPPPP!!!

Mathematics
1 answer:
TEA [102]3 years ago
8 0

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.

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