What is the Greatest Common Factor of 838 and 852?
Greatest common factor (GCF) of 838 and 852 is 2.
GCF(838,852) = 2
We will now calculate the prime factors of 838 and 852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 838 and 852.
How to find the GCF of 838 and 852?
We will first find the prime factorization of 838 and 852. After we will calculate the factors of 838 and 852 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 852
Prime factors of 852 are 2, 3, 71. Prime factorization of 852 in exponential form is:
852 = 22 × 31 × 711
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 852
List of positive integer factors of 852 that divides 838 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 838 and 852. The biggest common factor number is the GCF number.
So the greatest common factor 838 and 852 is 2.
Also check out the Least Common Multiple of 838 and 852
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