What is the Greatest Common Factor of 796 and 816?
Greatest common factor (GCF) of 796 and 816 is 4.
GCF(796,816) = 4
We will now calculate the prime factors of 796 and 816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 796 and 816.
How to find the GCF of 796 and 816?
We will first find the prime factorization of 796 and 816. After we will calculate the factors of 796 and 816 and find the biggest common factor number .
Step-1: Prime Factorization of 796
Prime factors of 796 are 2, 199. Prime factorization of 796 in exponential form is:
796 = 22 × 1991
Step-2: Prime Factorization of 816
Prime factors of 816 are 2, 3, 17. Prime factorization of 816 in exponential form is:
816 = 24 × 31 × 171
Step-3: Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398
Step-4: Factors of 816
List of positive integer factors of 816 that divides 796 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 796 and 816. The biggest common factor number is the GCF number.
So the greatest common factor 796 and 816 is 4.
Also check out the Least Common Multiple of 796 and 816
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