What is the Greatest Common Factor of 11808 and 11823?
Greatest common factor (GCF) of 11808 and 11823 is 3.
GCF(11808,11823) = 3
We will now calculate the prime factors of 11808 and 11823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11808 and 11823.
How to find the GCF of 11808 and 11823?
We will first find the prime factorization of 11808 and 11823. After we will calculate the factors of 11808 and 11823 and find the biggest common factor number .
Step-1: Prime Factorization of 11808
Prime factors of 11808 are 2, 3, 41. Prime factorization of 11808 in exponential form is:
11808 = 25 × 32 × 411
Step-2: Prime Factorization of 11823
Prime factors of 11823 are 3, 7, 563. Prime factorization of 11823 in exponential form is:
11823 = 31 × 71 × 5631
Step-3: Factors of 11808
List of positive integer factors of 11808 that divides 11808 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 72, 82, 96, 123, 144, 164, 246, 288, 328, 369, 492, 656, 738, 984, 1312, 1476, 1968, 2952, 3936, 5904
Step-4: Factors of 11823
List of positive integer factors of 11823 that divides 11808 without a remainder.
1, 3, 7, 21, 563, 1689, 3941
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11808 and 11823. The biggest common factor number is the GCF number.
So the greatest common factor 11808 and 11823 is 3.
Also check out the Least Common Multiple of 11808 and 11823
Related Greatest Common Factors of 11808
- GCF of 11808 and 11812
- GCF of 11808 and 11813
- GCF of 11808 and 11814
- GCF of 11808 and 11815
- GCF of 11808 and 11816
- GCF of 11808 and 11817
- GCF of 11808 and 11818
- GCF of 11808 and 11819
- GCF of 11808 and 11820
- GCF of 11808 and 11821
- GCF of 11808 and 11822
- GCF of 11808 and 11823
- GCF of 11808 and 11824
- GCF of 11808 and 11825
- GCF of 11808 and 11826
- GCF of 11808 and 11827
- GCF of 11808 and 11828
Related Greatest Common Factors of 11823
- GCF of 11823 and 11827
- GCF of 11823 and 11828
- GCF of 11823 and 11829
- GCF of 11823 and 11830
- GCF of 11823 and 11831
- GCF of 11823 and 11832
- GCF of 11823 and 11833
- GCF of 11823 and 11834
- GCF of 11823 and 11835
- GCF of 11823 and 11836
- GCF of 11823 and 11837
- GCF of 11823 and 11838
- GCF of 11823 and 11839
- GCF of 11823 and 11840
- GCF of 11823 and 11841
- GCF of 11823 and 11842
- GCF of 11823 and 11843