What is the Greatest Common Factor of 5349 and 5355?
Greatest common factor (GCF) of 5349 and 5355 is 3.
GCF(5349,5355) = 3
We will now calculate the prime factors of 5349 and 5355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5349 and 5355.
How to find the GCF of 5349 and 5355?
We will first find the prime factorization of 5349 and 5355. After we will calculate the factors of 5349 and 5355 and find the biggest common factor number .
Step-1: Prime Factorization of 5349
Prime factors of 5349 are 3, 1783. Prime factorization of 5349 in exponential form is:
5349 = 31 × 17831
Step-2: Prime Factorization of 5355
Prime factors of 5355 are 3, 5, 7, 17. Prime factorization of 5355 in exponential form is:
5355 = 32 × 51 × 71 × 171
Step-3: Factors of 5349
List of positive integer factors of 5349 that divides 5349 without a remainder.
1, 3, 1783
Step-4: Factors of 5355
List of positive integer factors of 5355 that divides 5349 without a remainder.
1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5349 and 5355. The biggest common factor number is the GCF number.
So the greatest common factor 5349 and 5355 is 3.
Also check out the Least Common Multiple of 5349 and 5355
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