What is the Greatest Common Factor of 843 and 852?
Greatest common factor (GCF) of 843 and 852 is 3.
GCF(843,852) = 3
We will now calculate the prime factors of 843 and 852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 843 and 852.
How to find the GCF of 843 and 852?
We will first find the prime factorization of 843 and 852. After we will calculate the factors of 843 and 852 and find the biggest common factor number .
Step-1: Prime Factorization of 843
Prime factors of 843 are 3, 281. Prime factorization of 843 in exponential form is:
843 = 31 × 2811
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 843
List of positive integer factors of 843 that divides 843 without a remainder.
1, 3, 281
Step-4: Factors of 852
List of positive integer factors of 852 that divides 843 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 843 and 852. The biggest common factor number is the GCF number.
So the greatest common factor 843 and 852 is 3.
Also check out the Least Common Multiple of 843 and 852
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