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What is the Greatest Common Factor of 87307 and 87321?

Greatest common factor (GCF) of 87307 and 87321 is 1.

GCF(87307,87321) = 1

We will now calculate the prime factors of 87307 and 87321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87307 and 87321.

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How to find the GCF of 87307 and 87321?

We will first find the prime factorization of 87307 and 87321. After we will calculate the factors of 87307 and 87321 and find the biggest common factor number .

Step-1: Prime Factorization of 87307

Prime factors of 87307 are 11, 7937. Prime factorization of 87307 in exponential form is:

87307 = 111 × 79371

Step-2: Prime Factorization of 87321

Prime factors of 87321 are 3, 13, 2239. Prime factorization of 87321 in exponential form is:

87321 = 31 × 131 × 22391

Step-3: Factors of 87307

List of positive integer factors of 87307 that divides 87307 without a remainder.

1, 11, 7937

Step-4: Factors of 87321

List of positive integer factors of 87321 that divides 87307 without a remainder.

1, 3, 13, 39, 2239, 6717, 29107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87307 and 87321. The biggest common factor number is the GCF number.
So the greatest common factor 87307 and 87321 is 1.

Also check out the Least Common Multiple of 87307 and 87321