What is the Greatest Common Factor of 35217 and 35229?
Greatest common factor (GCF) of 35217 and 35229 is 3.
GCF(35217,35229) = 3
We will now calculate the prime factors of 35217 and 35229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35217 and 35229.
How to find the GCF of 35217 and 35229?
We will first find the prime factorization of 35217 and 35229. After we will calculate the factors of 35217 and 35229 and find the biggest common factor number .
Step-1: Prime Factorization of 35217
Prime factors of 35217 are 3, 7, 13, 43. Prime factorization of 35217 in exponential form is:
35217 = 32 × 71 × 131 × 431
Step-2: Prime Factorization of 35229
Prime factors of 35229 are 3, 11743. Prime factorization of 35229 in exponential form is:
35229 = 31 × 117431
Step-3: Factors of 35217
List of positive integer factors of 35217 that divides 35217 without a remainder.
1, 3, 7, 9, 13, 21, 39, 43, 63, 91, 117, 129, 273, 301, 387, 559, 819, 903, 1677, 2709, 3913, 5031, 11739
Step-4: Factors of 35229
List of positive integer factors of 35229 that divides 35217 without a remainder.
1, 3, 11743
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35217 and 35229. The biggest common factor number is the GCF number.
So the greatest common factor 35217 and 35229 is 3.
Also check out the Least Common Multiple of 35217 and 35229
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