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What is the Greatest Common Factor of 10328 and 10341?

Greatest common factor (GCF) of 10328 and 10341 is 1.

GCF(10328,10341) = 1

We will now calculate the prime factors of 10328 and 10341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10328 and 10341.

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How to find the GCF of 10328 and 10341?

We will first find the prime factorization of 10328 and 10341. After we will calculate the factors of 10328 and 10341 and find the biggest common factor number .

Step-1: Prime Factorization of 10328

Prime factors of 10328 are 2, 1291. Prime factorization of 10328 in exponential form is:

10328 = 23 × 12911

Step-2: Prime Factorization of 10341

Prime factors of 10341 are 3, 383. Prime factorization of 10341 in exponential form is:

10341 = 33 × 3831

Step-3: Factors of 10328

List of positive integer factors of 10328 that divides 10328 without a remainder.

1, 2, 4, 8, 1291, 2582, 5164

Step-4: Factors of 10341

List of positive integer factors of 10341 that divides 10328 without a remainder.

1, 3, 9, 27, 383, 1149, 3447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10328 and 10341. The biggest common factor number is the GCF number.
So the greatest common factor 10328 and 10341 is 1.

Also check out the Least Common Multiple of 10328 and 10341