What is the Greatest Common Factor of 13712 and 13728?
Greatest common factor (GCF) of 13712 and 13728 is 16.
GCF(13712,13728) = 16
We will now calculate the prime factors of 13712 and 13728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13712 and 13728.
How to find the GCF of 13712 and 13728?
We will first find the prime factorization of 13712 and 13728. After we will calculate the factors of 13712 and 13728 and find the biggest common factor number .
Step-1: Prime Factorization of 13712
Prime factors of 13712 are 2, 857. Prime factorization of 13712 in exponential form is:
13712 = 24 × 8571
Step-2: 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-3: Factors of 13712
List of positive integer factors of 13712 that divides 13712 without a remainder.
1, 2, 4, 8, 16, 857, 1714, 3428, 6856
Step-4: Factors of 13728
List of positive integer factors of 13728 that divides 13712 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13712 and 13728. The biggest common factor number is the GCF number.
So the greatest common factor 13712 and 13728 is 16.
Also check out the Least Common Multiple of 13712 and 13728
Related Greatest Common Factors of 13712
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Related Greatest Common Factors of 13728
- GCF of 13728 and 13732
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- GCF of 13728 and 13734
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- GCF of 13728 and 13744
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