What is the Greatest Common Factor of 8278 and 8283?
Greatest common factor (GCF) of 8278 and 8283 is 1.
GCF(8278,8283) = 1
We will now calculate the prime factors of 8278 and 8283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8278 and 8283.
How to find the GCF of 8278 and 8283?
We will first find the prime factorization of 8278 and 8283. After we will calculate the factors of 8278 and 8283 and find the biggest common factor number .
Step-1: Prime Factorization of 8278
Prime factors of 8278 are 2, 4139. Prime factorization of 8278 in exponential form is:
8278 = 21 × 41391
Step-2: 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-3: Factors of 8278
List of positive integer factors of 8278 that divides 8278 without a remainder.
1, 2, 4139
Step-4: Factors of 8283
List of positive integer factors of 8283 that divides 8278 without a remainder.
1, 3, 11, 33, 251, 753, 2761
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8278 and 8283. The biggest common factor number is the GCF number.
So the greatest common factor 8278 and 8283 is 1.
Also check out the Least Common Multiple of 8278 and 8283
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