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What is the Greatest Common Factor of 36307 and 36321?

Greatest common factor (GCF) of 36307 and 36321 is 1.

GCF(36307,36321) = 1

We will now calculate the prime factors of 36307 and 36321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36307 and 36321.

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How to find the GCF of 36307 and 36321?

We will first find the prime factorization of 36307 and 36321. After we will calculate the factors of 36307 and 36321 and find the biggest common factor number .

Step-1: Prime Factorization of 36307

Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:

36307 = 363071

Step-2: Prime Factorization of 36321

Prime factors of 36321 are 3, 12107. Prime factorization of 36321 in exponential form is:

36321 = 31 × 121071

Step-3: Factors of 36307

List of positive integer factors of 36307 that divides 36307 without a remainder.

1

Step-4: Factors of 36321

List of positive integer factors of 36321 that divides 36307 without a remainder.

1, 3, 12107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36307 and 36321. The biggest common factor number is the GCF number.
So the greatest common factor 36307 and 36321 is 1.

Also check out the Least Common Multiple of 36307 and 36321