What is the Greatest Common Factor of 838 and 842?
Greatest common factor (GCF) of 838 and 842 is 2.
GCF(838,842) = 2
We will now calculate the prime factors of 838 and 842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 838 and 842.
How to find the GCF of 838 and 842?
We will first find the prime factorization of 838 and 842. After we will calculate the factors of 838 and 842 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 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
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 842
List of positive integer factors of 842 that divides 838 without a remainder.
1, 2, 421
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 838 and 842. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 842 is 2.
Also check out the Least Common Multiple of 838 and 842
Related Greatest Common Factors of 838
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Related Greatest Common Factors of 842
- GCF of 842 and 846
- GCF of 842 and 847
- GCF of 842 and 848
- GCF of 842 and 849
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- GCF of 842 and 852
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- GCF of 842 and 854
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- GCF of 842 and 857
- GCF of 842 and 858
- GCF of 842 and 859
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