What is the Greatest Common Factor of 8838 and 8842?
Greatest common factor (GCF) of 8838 and 8842 is 2.
GCF(8838,8842) = 2
We will now calculate the prime factors of 8838 and 8842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8838 and 8842.
How to find the GCF of 8838 and 8842?
We will first find the prime factorization of 8838 and 8842. After we will calculate the factors of 8838 and 8842 and find the biggest common factor number .
Step-1: Prime Factorization of 8838
Prime factors of 8838 are 2, 3, 491. Prime factorization of 8838 in exponential form is:
8838 = 21 × 32 × 4911
Step-2: Prime Factorization of 8842
Prime factors of 8842 are 2, 4421. Prime factorization of 8842 in exponential form is:
8842 = 21 × 44211
Step-3: Factors of 8838
List of positive integer factors of 8838 that divides 8838 without a remainder.
1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419
Step-4: Factors of 8842
List of positive integer factors of 8842 that divides 8838 without a remainder.
1, 2, 4421
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8838 and 8842. The biggest common factor number is the GCF number.
So the greatest common factor 8838 and 8842 is 2.
Also check out the Least Common Multiple of 8838 and 8842
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