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Question

What is the GCF of the largest 2-digit prime number and the smallest 2-digit prime number?

A
1
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B
5
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C
4
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D
9
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Solution

The correct option is A 1
As we already know that a prime number is a number that has only two factors, that is, 1 and the number itself.

So, the largest 2-digit prime number = 97
Smallest 2-digit prime number = 11

GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

Factors of 97 = 1 and 97
Factors of 11 = 1 and 11

∴ Common factor = 1
Thus, GCF of 11 and 97 = 1

Therefore, the GCF of all the prime numbers is 1 only.

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