Find the greatest common factor!
Please help with these 2 questions
2 answers:
To find the GCF: 1) Find the prime factorizations. 2) Use only common factors with smaller exponent. 3) Multiply them together.
Problem 9.
12 = 2^2 * 3; 33 = 23 * 11
The only common factor is 3
Answer: 3
Problem 10.
45 = 3^2 * 5; 70 = 2 * 5 * 7
Common factor: 5
Answer: 5
Hello!
The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common
12: 1,12,2,6,3,4
33:1,33,3,11,
As you can see, the greatest number these two have in common is 3.
Now for the next set.
45: 1,45,3,15,5,9
70:1,70,2,35,5,14,7,10
As you can see, our GCF is 5.
Therefore, our answers are below.
9) 3
10) 5
I hope this helps!
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