What is the Greatest Common Factor of 842 and 850?
Greatest common factor (GCF) of 842 and 850 is 2.
GCF(842,850) = 2
We will now calculate the prime factors of 842 and 850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 842 and 850.
How to find the GCF of 842 and 850?
We will first find the prime factorization of 842 and 850. After we will calculate the factors of 842 and 850 and find the biggest common factor number .
Step-1: Prime Factorization of 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
Step-2: Prime Factorization of 850
Prime factors of 850 are 2, 5, 17. Prime factorization of 850 in exponential form is:
850 = 21 × 52 × 171
Step-3: Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1, 2, 421
Step-4: Factors of 850
List of positive integer factors of 850 that divides 842 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 842 and 850. The biggest common factor number is the GCF number.
So the greatest common factor 842 and 850 is 2.
Also check out the Least Common Multiple of 842 and 850
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