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What is the Greatest Common Factor of 7 and 17?

Greatest common factor (GCF) of 7 and 17 is 1.

GCF(7,17) = 1

We will now calculate the prime factors of 7 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7 and 17.

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How to find the GCF of 7 and 17?

We will first find the prime factorization of 7 and 17. After we will calculate the factors of 7 and 17 and find the biggest common factor number .

Step-1: Prime Factorization of 7

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 71

Step-2: Prime Factorization of 17

Prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

Step-3: Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1

Step-4: Factors of 17

List of positive integer factors of 17 that divides 7 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7 and 17. The biggest common factor number is the GCF number.
So the greatest common factor 7 and 17 is 1.

Also check out the Least Common Multiple of 7 and 17

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