What is the Greatest Common Factor of 8296 and 8315?
Greatest common factor (GCF) of 8296 and 8315 is 1.
GCF(8296,8315) = 1
We will now calculate the prime factors of 8296 and 8315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8296 and 8315.
How to find the GCF of 8296 and 8315?
We will first find the prime factorization of 8296 and 8315. After we will calculate the factors of 8296 and 8315 and find the biggest common factor number .
Step-1: Prime Factorization of 8296
Prime factors of 8296 are 2, 17, 61. Prime factorization of 8296 in exponential form is:
8296 = 23 × 171 × 611
Step-2: Prime Factorization of 8315
Prime factors of 8315 are 5, 1663. Prime factorization of 8315 in exponential form is:
8315 = 51 × 16631
Step-3: Factors of 8296
List of positive integer factors of 8296 that divides 8296 without a remainder.
1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148
Step-4: Factors of 8315
List of positive integer factors of 8315 that divides 8296 without a remainder.
1, 5, 1663
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8296 and 8315. The biggest common factor number is the GCF number.
So the greatest common factor 8296 and 8315 is 1.
Also check out the Least Common Multiple of 8296 and 8315
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