What is the Greatest Common Factor of 8307 and 8321?
Greatest common factor (GCF) of 8307 and 8321 is 1.
GCF(8307,8321) = 1
We will now calculate the prime factors of 8307 and 8321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8307 and 8321.
How to find the GCF of 8307 and 8321?
We will first find the prime factorization of 8307 and 8321. After we will calculate the factors of 8307 and 8321 and find the biggest common factor number .
Step-1: Prime Factorization of 8307
Prime factors of 8307 are 3, 13, 71. Prime factorization of 8307 in exponential form is:
8307 = 32 × 131 × 711
Step-2: Prime Factorization of 8321
Prime factors of 8321 are 53, 157. Prime factorization of 8321 in exponential form is:
8321 = 531 × 1571
Step-3: Factors of 8307
List of positive integer factors of 8307 that divides 8307 without a remainder.
1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769
Step-4: Factors of 8321
List of positive integer factors of 8321 that divides 8307 without a remainder.
1, 53, 157
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8307 and 8321. The biggest common factor number is the GCF number.
So the greatest common factor 8307 and 8321 is 1.
Also check out the Least Common Multiple of 8307 and 8321
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Related Greatest Common Factors of 8321
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