What is the Greatest Common Factor of 13724 and 13729?
Greatest common factor (GCF) of 13724 and 13729 is 1.
GCF(13724,13729) = 1
We will now calculate the prime factors of 13724 and 13729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13724 and 13729.
How to find the GCF of 13724 and 13729?
We will first find the prime factorization of 13724 and 13729. After we will calculate the factors of 13724 and 13729 and find the biggest common factor number .
Step-1: Prime Factorization of 13724
Prime factors of 13724 are 2, 47, 73. Prime factorization of 13724 in exponential form is:
13724 = 22 × 471 × 731
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 13724
List of positive integer factors of 13724 that divides 13724 without a remainder.
1, 2, 4, 47, 73, 94, 146, 188, 292, 3431, 6862
Step-4: Factors of 13729
List of positive integer factors of 13729 that divides 13724 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13724 and 13729. The biggest common factor number is the GCF number.
So the greatest common factor 13724 and 13729 is 1.
Also check out the Least Common Multiple of 13724 and 13729
Related Greatest Common Factors of 13724
- GCF of 13724 and 13728
- GCF of 13724 and 13729
- GCF of 13724 and 13730
- GCF of 13724 and 13731
- GCF of 13724 and 13732
- GCF of 13724 and 13733
- GCF of 13724 and 13734
- GCF of 13724 and 13735
- GCF of 13724 and 13736
- GCF of 13724 and 13737
- GCF of 13724 and 13738
- GCF of 13724 and 13739
- GCF of 13724 and 13740
- GCF of 13724 and 13741
- GCF of 13724 and 13742
- GCF of 13724 and 13743
- GCF of 13724 and 13744
Related Greatest Common Factors of 13729
- GCF of 13729 and 13733
- GCF of 13729 and 13734
- GCF of 13729 and 13735
- GCF of 13729 and 13736
- GCF of 13729 and 13737
- GCF of 13729 and 13738
- GCF of 13729 and 13739
- GCF of 13729 and 13740
- GCF of 13729 and 13741
- GCF of 13729 and 13742
- GCF of 13729 and 13743
- GCF of 13729 and 13744
- GCF of 13729 and 13745
- GCF of 13729 and 13746
- GCF of 13729 and 13747
- GCF of 13729 and 13748
- GCF of 13729 and 13749