What is the Greatest Common Factor of 29298 and 29317?
Greatest common factor (GCF) of 29298 and 29317 is 19.
GCF(29298,29317) = 19
We will now calculate the prime factors of 29298 and 29317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29298 and 29317.
How to find the GCF of 29298 and 29317?
We will first find the prime factorization of 29298 and 29317. After we will calculate the factors of 29298 and 29317 and find the biggest common factor number .
Step-1: Prime Factorization of 29298
Prime factors of 29298 are 2, 3, 19, 257. Prime factorization of 29298 in exponential form is:
29298 = 21 × 31 × 191 × 2571
Step-2: Prime Factorization of 29317
Prime factors of 29317 are 19, 1543. Prime factorization of 29317 in exponential form is:
29317 = 191 × 15431
Step-3: Factors of 29298
List of positive integer factors of 29298 that divides 29298 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 257, 514, 771, 1542, 4883, 9766, 14649
Step-4: Factors of 29317
List of positive integer factors of 29317 that divides 29298 without a remainder.
1, 19, 1543
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29298 and 29317. The biggest common factor number is the GCF number.
So the greatest common factor 29298 and 29317 is 19.
Also check out the Least Common Multiple of 29298 and 29317
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