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What is the greatest common factor of 49 and 35?

Updated: 10/1/2020
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Amanda Curtis

Lvl 3
3y ago

Best Answer

Please think a little with me--

What are the factors of 49 ? Do you know what the word factor means?

It is another word for divisor-- so what number divides exactly into 49?

Think through the multiplication table-- does 49 ever appear???

Yes! 49= 7 times 7.

Now think about 35-- it that number in your multiplication table? What the factors of 35?

HInt: any number that ends in 0 or 5 has 5 for a factor.

So finally, if you have not already figured it out:

35 = 5 times 7.

So the factors are 7 and 7 for 49 and 7 and 5 for 35.

"common" means "in common" - a factor they both share--

What factor do these number have in common??

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Wiki User

15y ago
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Wiki User

7y ago

The greatest common factor for 35 and 49 is 7.

The factors of 35 are 1, 5, 7, and 35

The factors of 49 are 1, 7, and 49

The GCF is 7.

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Wiki User

7y ago

The word "GREATEST" is a superlative adjective and that means there can be only one.GCF(35, 49) = 7.

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Amanda Curtis

Lvl 3
3y ago

IT's............................................7

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