What is the Greatest Common Factor of 38816 and 38824?
Greatest common factor (GCF) of 38816 and 38824 is 8.
GCF(38816,38824) = 8
We will now calculate the prime factors of 38816 and 38824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38816 and 38824.
How to find the GCF of 38816 and 38824?
We will first find the prime factorization of 38816 and 38824. After we will calculate the factors of 38816 and 38824 and find the biggest common factor number .
Step-1: Prime Factorization of 38816
Prime factors of 38816 are 2, 1213. Prime factorization of 38816 in exponential form is:
38816 = 25 × 12131
Step-2: Prime Factorization of 38824
Prime factors of 38824 are 2, 23, 211. Prime factorization of 38824 in exponential form is:
38824 = 23 × 231 × 2111
Step-3: Factors of 38816
List of positive integer factors of 38816 that divides 38816 without a remainder.
1, 2, 4, 8, 16, 32, 1213, 2426, 4852, 9704, 19408
Step-4: Factors of 38824
List of positive integer factors of 38824 that divides 38816 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184, 211, 422, 844, 1688, 4853, 9706, 19412
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38816 and 38824. The biggest common factor number is the GCF number.
So the greatest common factor 38816 and 38824 is 8.
Also check out the Least Common Multiple of 38816 and 38824
Related Greatest Common Factors of 38816
- GCF of 38816 and 38820
- GCF of 38816 and 38821
- GCF of 38816 and 38822
- GCF of 38816 and 38823
- GCF of 38816 and 38824
- GCF of 38816 and 38825
- GCF of 38816 and 38826
- GCF of 38816 and 38827
- GCF of 38816 and 38828
- GCF of 38816 and 38829
- GCF of 38816 and 38830
- GCF of 38816 and 38831
- GCF of 38816 and 38832
- GCF of 38816 and 38833
- GCF of 38816 and 38834
- GCF of 38816 and 38835
- GCF of 38816 and 38836
Related Greatest Common Factors of 38824
- GCF of 38824 and 38828
- GCF of 38824 and 38829
- GCF of 38824 and 38830
- GCF of 38824 and 38831
- GCF of 38824 and 38832
- GCF of 38824 and 38833
- GCF of 38824 and 38834
- GCF of 38824 and 38835
- GCF of 38824 and 38836
- GCF of 38824 and 38837
- GCF of 38824 and 38838
- GCF of 38824 and 38839
- GCF of 38824 and 38840
- GCF of 38824 and 38841
- GCF of 38824 and 38842
- GCF of 38824 and 38843
- GCF of 38824 and 38844