What is the Greatest Common Factor of 11814 and 11832?
Greatest common factor (GCF) of 11814 and 11832 is 6.
GCF(11814,11832) = 6
We will now calculate the prime factors of 11814 and 11832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11814 and 11832.
How to find the GCF of 11814 and 11832?
We will first find the prime factorization of 11814 and 11832. After we will calculate the factors of 11814 and 11832 and find the biggest common factor number .
Step-1: Prime Factorization of 11814
Prime factors of 11814 are 2, 3, 11, 179. Prime factorization of 11814 in exponential form is:
11814 = 21 × 31 × 111 × 1791
Step-2: Prime Factorization of 11832
Prime factors of 11832 are 2, 3, 17, 29. Prime factorization of 11832 in exponential form is:
11832 = 23 × 31 × 171 × 291
Step-3: Factors of 11814
List of positive integer factors of 11814 that divides 11814 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 179, 358, 537, 1074, 1969, 3938, 5907
Step-4: Factors of 11832
List of positive integer factors of 11832 that divides 11814 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 29, 34, 51, 58, 68, 87, 102, 116, 136, 174, 204, 232, 348, 408, 493, 696, 986, 1479, 1972, 2958, 3944, 5916
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11814 and 11832. The biggest common factor number is the GCF number.
So the greatest common factor 11814 and 11832 is 6.
Also check out the Least Common Multiple of 11814 and 11832
Related Greatest Common Factors of 11814
- GCF of 11814 and 11818
- GCF of 11814 and 11819
- GCF of 11814 and 11820
- GCF of 11814 and 11821
- GCF of 11814 and 11822
- GCF of 11814 and 11823
- GCF of 11814 and 11824
- GCF of 11814 and 11825
- GCF of 11814 and 11826
- GCF of 11814 and 11827
- GCF of 11814 and 11828
- GCF of 11814 and 11829
- GCF of 11814 and 11830
- GCF of 11814 and 11831
- GCF of 11814 and 11832
- GCF of 11814 and 11833
- GCF of 11814 and 11834
Related Greatest Common Factors of 11832
- GCF of 11832 and 11836
- GCF of 11832 and 11837
- GCF of 11832 and 11838
- GCF of 11832 and 11839
- GCF of 11832 and 11840
- GCF of 11832 and 11841
- GCF of 11832 and 11842
- GCF of 11832 and 11843
- GCF of 11832 and 11844
- GCF of 11832 and 11845
- GCF of 11832 and 11846
- GCF of 11832 and 11847
- GCF of 11832 and 11848
- GCF of 11832 and 11849
- GCF of 11832 and 11850
- GCF of 11832 and 11851
- GCF of 11832 and 11852