What is the Greatest Common Factor of 13739 and 13749?
Greatest common factor (GCF) of 13739 and 13749 is 1.
GCF(13739,13749) = 1
We will now calculate the prime factors of 13739 and 13749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13739 and 13749.
How to find the GCF of 13739 and 13749?
We will first find the prime factorization of 13739 and 13749. After we will calculate the factors of 13739 and 13749 and find the biggest common factor number .
Step-1: Prime Factorization of 13739
Prime factors of 13739 are 11, 1249. Prime factorization of 13739 in exponential form is:
13739 = 111 × 12491
Step-2: Prime Factorization of 13749
Prime factors of 13749 are 3, 4583. Prime factorization of 13749 in exponential form is:
13749 = 31 × 45831
Step-3: Factors of 13739
List of positive integer factors of 13739 that divides 13739 without a remainder.
1, 11, 1249
Step-4: Factors of 13749
List of positive integer factors of 13749 that divides 13739 without a remainder.
1, 3, 4583
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13739 and 13749. The biggest common factor number is the GCF number.
So the greatest common factor 13739 and 13749 is 1.
Also check out the Least Common Multiple of 13739 and 13749
Related Greatest Common Factors of 13739
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- GCF of 13739 and 13749
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- GCF of 13739 and 13754
- GCF of 13739 and 13755
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Related Greatest Common Factors of 13749
- GCF of 13749 and 13753
- GCF of 13749 and 13754
- GCF of 13749 and 13755
- GCF of 13749 and 13756
- GCF of 13749 and 13757
- GCF of 13749 and 13758
- GCF of 13749 and 13759
- GCF of 13749 and 13760
- GCF of 13749 and 13761
- GCF of 13749 and 13762
- GCF of 13749 and 13763
- GCF of 13749 and 13764
- GCF of 13749 and 13765
- GCF of 13749 and 13766
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