What is the Greatest Common Factor of 13720 and 13739?
Greatest common factor (GCF) of 13720 and 13739 is 1.
GCF(13720,13739) = 1
We will now calculate the prime factors of 13720 and 13739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13720 and 13739.
How to find the GCF of 13720 and 13739?
We will first find the prime factorization of 13720 and 13739. After we will calculate the factors of 13720 and 13739 and find the biggest common factor number .
Step-1: Prime Factorization of 13720
Prime factors of 13720 are 2, 5, 7. Prime factorization of 13720 in exponential form is:
13720 = 23 × 51 × 73
Step-2: Prime Factorization of 13739
Prime factors of 13739 are 11, 1249. Prime factorization of 13739 in exponential form is:
13739 = 111 × 12491
Step-3: Factors of 13720
List of positive integer factors of 13720 that divides 13720 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 343, 392, 490, 686, 980, 1372, 1715, 1960, 2744, 3430, 6860
Step-4: Factors of 13739
List of positive integer factors of 13739 that divides 13720 without a remainder.
1, 11, 1249
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13720 and 13739. The biggest common factor number is the GCF number.
So the greatest common factor 13720 and 13739 is 1.
Also check out the Least Common Multiple of 13720 and 13739
Related Greatest Common Factors of 13720
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Related Greatest Common Factors of 13739
- GCF of 13739 and 13743
- GCF of 13739 and 13744
- GCF of 13739 and 13745
- GCF of 13739 and 13746
- GCF of 13739 and 13747
- GCF of 13739 and 13748
- GCF of 13739 and 13749
- GCF of 13739 and 13750
- GCF of 13739 and 13751
- GCF of 13739 and 13752
- GCF of 13739 and 13753
- GCF of 13739 and 13754
- GCF of 13739 and 13755
- GCF of 13739 and 13756
- GCF of 13739 and 13757
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