What is the Greatest Common Factor of 8344 and 8349?
Greatest common factor (GCF) of 8344 and 8349 is 1.
GCF(8344,8349) = 1
We will now calculate the prime factors of 8344 and 8349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8344 and 8349.
How to find the GCF of 8344 and 8349?
We will first find the prime factorization of 8344 and 8349. After we will calculate the factors of 8344 and 8349 and find the biggest common factor number .
Step-1: Prime Factorization of 8344
Prime factors of 8344 are 2, 7, 149. Prime factorization of 8344 in exponential form is:
8344 = 23 × 71 × 1491
Step-2: Prime Factorization of 8349
Prime factors of 8349 are 3, 11, 23. Prime factorization of 8349 in exponential form is:
8349 = 31 × 112 × 231
Step-3: Factors of 8344
List of positive integer factors of 8344 that divides 8344 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172
Step-4: Factors of 8349
List of positive integer factors of 8349 that divides 8344 without a remainder.
1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8344 and 8349. The biggest common factor number is the GCF number.
So the greatest common factor 8344 and 8349 is 1.
Also check out the Least Common Multiple of 8344 and 8349
Related Greatest Common Factors of 8344
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Related Greatest Common Factors of 8349
- GCF of 8349 and 8353
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