What is the Greatest Common Factor of 13645 and 13653?
Greatest common factor (GCF) of 13645 and 13653 is 1.
GCF(13645,13653) = 1
We will now calculate the prime factors of 13645 and 13653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13645 and 13653.
How to find the GCF of 13645 and 13653?
We will first find the prime factorization of 13645 and 13653. After we will calculate the factors of 13645 and 13653 and find the biggest common factor number .
Step-1: Prime Factorization of 13645
Prime factors of 13645 are 5, 2729. Prime factorization of 13645 in exponential form is:
13645 = 51 × 27291
Step-2: Prime Factorization of 13653
Prime factors of 13653 are 3, 37, 41. Prime factorization of 13653 in exponential form is:
13653 = 32 × 371 × 411
Step-3: Factors of 13645
List of positive integer factors of 13645 that divides 13645 without a remainder.
1, 5, 2729
Step-4: Factors of 13653
List of positive integer factors of 13653 that divides 13645 without a remainder.
1, 3, 9, 37, 41, 111, 123, 333, 369, 1517, 4551
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13645 and 13653. The biggest common factor number is the GCF number.
So the greatest common factor 13645 and 13653 is 1.
Also check out the Least Common Multiple of 13645 and 13653
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