What is the Greatest Common Factor of 8283 and 8290?
Greatest common factor (GCF) of 8283 and 8290 is 1.
GCF(8283,8290) = 1
We will now calculate the prime factors of 8283 and 8290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8283 and 8290.
How to find the GCF of 8283 and 8290?
We will first find the prime factorization of 8283 and 8290. After we will calculate the factors of 8283 and 8290 and find the biggest common factor number .
Step-1: Prime Factorization of 8283
Prime factors of 8283 are 3, 11, 251. Prime factorization of 8283 in exponential form is:
8283 = 31 × 111 × 2511
Step-2: Prime Factorization of 8290
Prime factors of 8290 are 2, 5, 829. Prime factorization of 8290 in exponential form is:
8290 = 21 × 51 × 8291
Step-3: Factors of 8283
List of positive integer factors of 8283 that divides 8283 without a remainder.
1, 3, 11, 33, 251, 753, 2761
Step-4: Factors of 8290
List of positive integer factors of 8290 that divides 8283 without a remainder.
1, 2, 5, 10, 829, 1658, 4145
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8283 and 8290. The biggest common factor number is the GCF number.
So the greatest common factor 8283 and 8290 is 1.
Also check out the Least Common Multiple of 8283 and 8290
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