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Why Is the greatest common factor of two even numbers 2?

Updated: 10/19/2022

Wiki User

∙ 8y ago

Best Answer

yeah basically

* * * * *

Not necessarily. All that you can say is that it is a multiple of 2.

GCF(12, 18) = 6, for example.

Wiki User

∙ 11y ago

This answer is:

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Wiki User

∙ 10y ago

Not necessarily. The GCF of 8 and 12 is 4.

This answer is:

Wiki User

∙ 9y ago

No, the greatest common factor of two even numbers is not always two. For instance, the GCF of 4 and 8 is 4.

This answer is:

Wiki User

∙ 8y ago

It isn't. The GCF of 8 and 12 is 4.

This answer is:

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Q: Why Is the greatest common factor of two even numbers 2?

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What numbers have a greatest common factor of 2?

Consecutive even numbers.

Can two even numbers have the greatest common factor of one?

No.

Is the greatest common factor of two even number is two?

No, 2 is a common factor of all even numbers but not necessarily the greatest common factor. Take 40 and 32: 40:1,2,4,5,8,10,20,40 32:1,2,4,8,16,32 8 is the greatest common factor of these two even numbers.

What is the greatest common factor of 500 and 502?

Greatest common factor(GCF) of two consecutive even numbers is 2. Here 500 and 502 are consecutive even numbers so, their GCF is 2.

Is the greatest common factor an odd number and even number is always even?

No. Odd numbers only have odd factors. They could not have an even factor in common.

Related questions

What numbers have 2 as their greatest common factor?

Consecutive even numbers.

What numbers have a greatest common factor of 2?

Consecutive even numbers.

Can two even numbers have greatest common factor of 1?

No. Every even number has a factor of 2. So any two even numbers share 2 as a factor. So the greatest common factor has to be at least 2.

Can two even numbers have the greatest common factor of one?

No.

Is the greatest common factor of two even number is two?

No, 2 is a common factor of all even numbers but not necessarily the greatest common factor. Take 40 and 32: 40:1,2,4,5,8,10,20,40 32:1,2,4,8,16,32 8 is the greatest common factor of these two even numbers.

What kind of numbers have a greatest common factor of 2?

Consecutive even numbers

Is the Greatest common factor of a pair of numbers even greater than both numbers?

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

Is the greatest common factor of an odd number in even numbers always even?

No.

Is the greatest common factor of any even numbers always even?

Yes.

The greatest common factor of two numbers is 2 what are the two numbers?

Consecutive even numbers.

What pair Of numbers have a greatest common factor of 2?

Any consecutive even numbers.

Which pare of numbers has a greatest common factor of 2?

Any consecutive even numbers.

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