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What is the Greatest Common Factor of 10373 and 10382?

Greatest common factor (GCF) of 10373 and 10382 is 1.

GCF(10373,10382) = 1

We will now calculate the prime factors of 10373 and 10382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10373 and 10382.

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How to find the GCF of 10373 and 10382?

We will first find the prime factorization of 10373 and 10382. After we will calculate the factors of 10373 and 10382 and find the biggest common factor number .

Step-1: Prime Factorization of 10373

Prime factors of 10373 are 11, 23, 41. Prime factorization of 10373 in exponential form is:

10373 = 111 × 231 × 411

Step-2: Prime Factorization of 10382

Prime factors of 10382 are 2, 29, 179. Prime factorization of 10382 in exponential form is:

10382 = 21 × 291 × 1791

Step-3: Factors of 10373

List of positive integer factors of 10373 that divides 10373 without a remainder.

1, 11, 23, 41, 253, 451, 943

Step-4: Factors of 10382

List of positive integer factors of 10382 that divides 10373 without a remainder.

1, 2, 29, 58, 179, 358, 5191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10373 and 10382. The biggest common factor number is the GCF number.
So the greatest common factor 10373 and 10382 is 1.

Also check out the Least Common Multiple of 10373 and 10382