What is the Greatest Common Factor of 13728 and 13747?
Greatest common factor (GCF) of 13728 and 13747 is 1.
GCF(13728,13747) = 1
We will now calculate the prime factors of 13728 and 13747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13728 and 13747.
How to find the GCF of 13728 and 13747?
We will first find the prime factorization of 13728 and 13747. After we will calculate the factors of 13728 and 13747 and find the biggest common factor number .
Step-1: Prime Factorization of 13728
Prime factors of 13728 are 2, 3, 11, 13. Prime factorization of 13728 in exponential form is:
13728 = 25 × 31 × 111 × 131
Step-2: Prime Factorization of 13747
Prime factors of 13747 are 59, 233. Prime factorization of 13747 in exponential form is:
13747 = 591 × 2331
Step-3: Factors of 13728
List of positive integer factors of 13728 that divides 13728 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 66, 78, 88, 96, 104, 132, 143, 156, 176, 208, 264, 286, 312, 352, 416, 429, 528, 572, 624, 858, 1056, 1144, 1248, 1716, 2288, 3432, 4576, 6864
Step-4: Factors of 13747
List of positive integer factors of 13747 that divides 13728 without a remainder.
1, 59, 233
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13728 and 13747. The biggest common factor number is the GCF number.
So the greatest common factor 13728 and 13747 is 1.
Also check out the Least Common Multiple of 13728 and 13747
Related Greatest Common Factors of 13728
- GCF of 13728 and 13732
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- GCF of 13728 and 13739
- GCF of 13728 and 13740
- GCF of 13728 and 13741
- GCF of 13728 and 13742
- GCF of 13728 and 13743
- GCF of 13728 and 13744
- GCF of 13728 and 13745
- GCF of 13728 and 13746
- GCF of 13728 and 13747
- GCF of 13728 and 13748
Related Greatest Common Factors of 13747
- GCF of 13747 and 13751
- GCF of 13747 and 13752
- GCF of 13747 and 13753
- GCF of 13747 and 13754
- GCF of 13747 and 13755
- GCF of 13747 and 13756
- GCF of 13747 and 13757
- GCF of 13747 and 13758
- GCF of 13747 and 13759
- GCF of 13747 and 13760
- GCF of 13747 and 13761
- GCF of 13747 and 13762
- GCF of 13747 and 13763
- GCF of 13747 and 13764
- GCF of 13747 and 13765
- GCF of 13747 and 13766
- GCF of 13747 and 13767