What is the Greatest Common Factor of 13725 and 13743?
Greatest common factor (GCF) of 13725 and 13743 is 9.
GCF(13725,13743) = 9
We will now calculate the prime factors of 13725 and 13743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13725 and 13743.
How to find the GCF of 13725 and 13743?
We will first find the prime factorization of 13725 and 13743. After we will calculate the factors of 13725 and 13743 and find the biggest common factor number .
Step-1: Prime Factorization of 13725
Prime factors of 13725 are 3, 5, 61. Prime factorization of 13725 in exponential form is:
13725 = 32 × 52 × 611
Step-2: Prime Factorization of 13743
Prime factors of 13743 are 3, 509. Prime factorization of 13743 in exponential form is:
13743 = 33 × 5091
Step-3: Factors of 13725
List of positive integer factors of 13725 that divides 13725 without a remainder.
1, 3, 5, 9, 15, 25, 45, 61, 75, 183, 225, 305, 549, 915, 1525, 2745, 4575
Step-4: Factors of 13743
List of positive integer factors of 13743 that divides 13725 without a remainder.
1, 3, 9, 27, 509, 1527, 4581
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13725 and 13743. The biggest common factor number is the GCF number.
So the greatest common factor 13725 and 13743 is 9.
Also check out the Least Common Multiple of 13725 and 13743
Related Greatest Common Factors of 13725
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Related Greatest Common Factors of 13743
- GCF of 13743 and 13747
- GCF of 13743 and 13748
- GCF of 13743 and 13749
- GCF of 13743 and 13750
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- GCF of 13743 and 13752
- GCF of 13743 and 13753
- GCF of 13743 and 13754
- GCF of 13743 and 13755
- GCF of 13743 and 13756
- GCF of 13743 and 13757
- GCF of 13743 and 13758
- GCF of 13743 and 13759
- GCF of 13743 and 13760
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