What is the Greatest Common Factor of 13634 and 13643?
Greatest common factor (GCF) of 13634 and 13643 is 1.
GCF(13634,13643) = 1
We will now calculate the prime factors of 13634 and 13643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13634 and 13643.
How to find the GCF of 13634 and 13643?
We will first find the prime factorization of 13634 and 13643. After we will calculate the factors of 13634 and 13643 and find the biggest common factor number .
Step-1: Prime Factorization of 13634
Prime factors of 13634 are 2, 17, 401. Prime factorization of 13634 in exponential form is:
13634 = 21 × 171 × 4011
Step-2: Prime Factorization of 13643
Prime factors of 13643 are 7, 1949. Prime factorization of 13643 in exponential form is:
13643 = 71 × 19491
Step-3: Factors of 13634
List of positive integer factors of 13634 that divides 13634 without a remainder.
1, 2, 17, 34, 401, 802, 6817
Step-4: Factors of 13643
List of positive integer factors of 13643 that divides 13634 without a remainder.
1, 7, 1949
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13634 and 13643. The biggest common factor number is the GCF number.
So the greatest common factor 13634 and 13643 is 1.
Also check out the Least Common Multiple of 13634 and 13643
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Related Greatest Common Factors of 13643
- GCF of 13643 and 13647
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