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What is the Greatest Common Factor of 66703 and 66716?

Greatest common factor (GCF) of 66703 and 66716 is 13.

GCF(66703,66716) = 13

We will now calculate the prime factors of 66703 and 66716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66703 and 66716.

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How to find the GCF of 66703 and 66716?

We will first find the prime factorization of 66703 and 66716. After we will calculate the factors of 66703 and 66716 and find the biggest common factor number .

Step-1: Prime Factorization of 66703

Prime factors of 66703 are 7, 13, 733. Prime factorization of 66703 in exponential form is:

66703 = 71 × 131 × 7331

Step-2: Prime Factorization of 66716

Prime factors of 66716 are 2, 13, 1283. Prime factorization of 66716 in exponential form is:

66716 = 22 × 131 × 12831

Step-3: Factors of 66703

List of positive integer factors of 66703 that divides 66703 without a remainder.

1, 7, 13, 91, 733, 5131, 9529

Step-4: Factors of 66716

List of positive integer factors of 66716 that divides 66703 without a remainder.

1, 2, 4, 13, 26, 52, 1283, 2566, 5132, 16679, 33358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66703 and 66716. The biggest common factor number is the GCF number.
So the greatest common factor 66703 and 66716 is 13.

Also check out the Least Common Multiple of 66703 and 66716