What is the Greatest Common Factor of 13744 and 13760?
Greatest common factor (GCF) of 13744 and 13760 is 16.
GCF(13744,13760) = 16
We will now calculate the prime factors of 13744 and 13760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13744 and 13760.
How to find the GCF of 13744 and 13760?
We will first find the prime factorization of 13744 and 13760. After we will calculate the factors of 13744 and 13760 and find the biggest common factor number .
Step-1: Prime Factorization of 13744
Prime factors of 13744 are 2, 859. Prime factorization of 13744 in exponential form is:
13744 = 24 × 8591
Step-2: Prime Factorization of 13760
Prime factors of 13760 are 2, 5, 43. Prime factorization of 13760 in exponential form is:
13760 = 26 × 51 × 431
Step-3: Factors of 13744
List of positive integer factors of 13744 that divides 13744 without a remainder.
1, 2, 4, 8, 16, 859, 1718, 3436, 6872
Step-4: Factors of 13760
List of positive integer factors of 13760 that divides 13744 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 160, 172, 215, 320, 344, 430, 688, 860, 1376, 1720, 2752, 3440, 6880
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13744 and 13760. The biggest common factor number is the GCF number.
So the greatest common factor 13744 and 13760 is 16.
Also check out the Least Common Multiple of 13744 and 13760
Related Greatest Common Factors of 13744
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Related Greatest Common Factors of 13760
- GCF of 13760 and 13764
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- GCF of 13760 and 13776
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