What is the Greatest Common Factor of 28347 and 28355?
Greatest common factor (GCF) of 28347 and 28355 is 1.
GCF(28347,28355) = 1
We will now calculate the prime factors of 28347 and 28355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28347 and 28355.
How to find the GCF of 28347 and 28355?
We will first find the prime factorization of 28347 and 28355. After we will calculate the factors of 28347 and 28355 and find the biggest common factor number .
Step-1: Prime Factorization of 28347
Prime factors of 28347 are 3, 11, 859. Prime factorization of 28347 in exponential form is:
28347 = 31 × 111 × 8591
Step-2: Prime Factorization of 28355
Prime factors of 28355 are 5, 53, 107. Prime factorization of 28355 in exponential form is:
28355 = 51 × 531 × 1071
Step-3: Factors of 28347
List of positive integer factors of 28347 that divides 28347 without a remainder.
1, 3, 11, 33, 859, 2577, 9449
Step-4: Factors of 28355
List of positive integer factors of 28355 that divides 28347 without a remainder.
1, 5, 53, 107, 265, 535, 5671
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28347 and 28355. The biggest common factor number is the GCF number.
So the greatest common factor 28347 and 28355 is 1.
Also check out the Least Common Multiple of 28347 and 28355
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