What is the Greatest Common Factor of 13710 and 13729?
Greatest common factor (GCF) of 13710 and 13729 is 1.
GCF(13710,13729) = 1
We will now calculate the prime factors of 13710 and 13729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13710 and 13729.
How to find the GCF of 13710 and 13729?
We will first find the prime factorization of 13710 and 13729. After we will calculate the factors of 13710 and 13729 and find the biggest common factor number .
Step-1: Prime Factorization of 13710
Prime factors of 13710 are 2, 3, 5, 457. Prime factorization of 13710 in exponential form is:
13710 = 21 × 31 × 51 × 4571
Step-2: Prime Factorization of 13729
Prime factors of 13729 are 13729. Prime factorization of 13729 in exponential form is:
13729 = 137291
Step-3: Factors of 13710
List of positive integer factors of 13710 that divides 13710 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 457, 914, 1371, 2285, 2742, 4570, 6855
Step-4: Factors of 13729
List of positive integer factors of 13729 that divides 13710 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13710 and 13729. The biggest common factor number is the GCF number.
So the greatest common factor 13710 and 13729 is 1.
Also check out the Least Common Multiple of 13710 and 13729
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