Answer:
The GCF of 21 and 30 is 3.
Step-by-step explanation:
Find the prime factorization of 21
21 = 3 × 7
Find the prime factorization of 30
30 = 2 × 3 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3
3
Factors of 21: 1, 3, 7, 21
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
The GCF is the largest factor they both have.
GCF = 3
=
2
−
1
4
5
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