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What is the Greatest Common Factor of 15666 and 15681?

Greatest common factor (GCF) of 15666 and 15681 is 3.

GCF(15666,15681) = 3

We will now calculate the prime factors of 15666 and 15681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15666 and 15681.

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How to find the GCF of 15666 and 15681?

We will first find the prime factorization of 15666 and 15681. After we will calculate the factors of 15666 and 15681 and find the biggest common factor number .

Step-1: Prime Factorization of 15666

Prime factors of 15666 are 2, 3, 7, 373. Prime factorization of 15666 in exponential form is:

15666 = 21 × 31 × 71 × 3731

Step-2: Prime Factorization of 15681

Prime factors of 15681 are 3, 5227. Prime factorization of 15681 in exponential form is:

15681 = 31 × 52271

Step-3: Factors of 15666

List of positive integer factors of 15666 that divides 15666 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 373, 746, 1119, 2238, 2611, 5222, 7833

Step-4: Factors of 15681

List of positive integer factors of 15681 that divides 15666 without a remainder.

1, 3, 5227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15666 and 15681. The biggest common factor number is the GCF number.
So the greatest common factor 15666 and 15681 is 3.

Also check out the Least Common Multiple of 15666 and 15681