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What is the Greatest Common Factor of 14 and 23?

Greatest common factor (GCF) of 14 and 23 is 1.

GCF(14,23) = 1

We will now calculate the prime factors of 14 and 23, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14 and 23.

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How to find the GCF of 14 and 23?

We will first find the prime factorization of 14 and 23. After we will calculate the factors of 14 and 23 and find the biggest common factor number .

Step-1: Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Step-2: Prime Factorization of 23

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

Step-3: Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

Step-4: Factors of 23

List of positive integer factors of 23 that divides 14 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14 and 23. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 23 is 1.

Also check out the Least Common Multiple of 14 and 23

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