What is the Greatest Common Factor of 838 and 845?
Greatest common factor (GCF) of 838 and 845 is 1.
GCF(838,845) = 1
We will now calculate the prime factors of 838 and 845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 838 and 845.
How to find the GCF of 838 and 845?
We will first find the prime factorization of 838 and 845. After we will calculate the factors of 838 and 845 and find the biggest common factor number .
Step-1: Prime Factorization of 838
Prime factors of 838 are 2, 419. Prime factorization of 838 in exponential form is:
838 = 21 × 4191
Step-2: Prime Factorization of 845
Prime factors of 845 are 5, 13. Prime factorization of 845 in exponential form is:
845 = 51 × 132
Step-3: Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1, 2, 419
Step-4: Factors of 845
List of positive integer factors of 845 that divides 838 without a remainder.
1, 5, 13, 65, 169
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 838 and 845. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 845 is 1.
Also check out the Least Common Multiple of 838 and 845
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Related Greatest Common Factors of 845
- GCF of 845 and 849
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