What is the Greatest Common Factor of 13733 and 13748?
Greatest common factor (GCF) of 13733 and 13748 is 1.
GCF(13733,13748) = 1
We will now calculate the prime factors of 13733 and 13748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13733 and 13748.
How to find the GCF of 13733 and 13748?
We will first find the prime factorization of 13733 and 13748. After we will calculate the factors of 13733 and 13748 and find the biggest common factor number .
Step-1: Prime Factorization of 13733
Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:
13733 = 311 × 4431
Step-2: Prime Factorization of 13748
Prime factors of 13748 are 2, 7, 491. Prime factorization of 13748 in exponential form is:
13748 = 22 × 71 × 4911
Step-3: Factors of 13733
List of positive integer factors of 13733 that divides 13733 without a remainder.
1, 31, 443
Step-4: Factors of 13748
List of positive integer factors of 13748 that divides 13733 without a remainder.
1, 2, 4, 7, 14, 28, 491, 982, 1964, 3437, 6874
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13733 and 13748. The biggest common factor number is the GCF number.
So the greatest common factor 13733 and 13748 is 1.
Also check out the Least Common Multiple of 13733 and 13748
Related Greatest Common Factors of 13733
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Related Greatest Common Factors of 13748
- GCF of 13748 and 13752
- GCF of 13748 and 13753
- GCF of 13748 and 13754
- GCF of 13748 and 13755
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- GCF of 13748 and 13758
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- GCF of 13748 and 13763
- GCF of 13748 and 13764
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