What is the Greatest Common Factor of 8265 and 8273?
Greatest common factor (GCF) of 8265 and 8273 is 1.
GCF(8265,8273) = 1
We will now calculate the prime factors of 8265 and 8273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8265 and 8273.
How to find the GCF of 8265 and 8273?
We will first find the prime factorization of 8265 and 8273. After we will calculate the factors of 8265 and 8273 and find the biggest common factor number .
Step-1: Prime Factorization of 8265
Prime factors of 8265 are 3, 5, 19, 29. Prime factorization of 8265 in exponential form is:
8265 = 31 × 51 × 191 × 291
Step-2: Prime Factorization of 8273
Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:
8273 = 82731
Step-3: Factors of 8265
List of positive integer factors of 8265 that divides 8265 without a remainder.
1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755
Step-4: Factors of 8273
List of positive integer factors of 8273 that divides 8265 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8265 and 8273. The biggest common factor number is the GCF number.
So the greatest common factor 8265 and 8273 is 1.
Also check out the Least Common Multiple of 8265 and 8273
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Related Greatest Common Factors of 8273
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