What is the Greatest Common Factor of 5976 and 5991?
Greatest common factor (GCF) of 5976 and 5991 is 3.
GCF(5976,5991) = 3
We will now calculate the prime factors of 5976 and 5991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5976 and 5991.
How to find the GCF of 5976 and 5991?
We will first find the prime factorization of 5976 and 5991. After we will calculate the factors of 5976 and 5991 and find the biggest common factor number .
Step-1: Prime Factorization of 5976
Prime factors of 5976 are 2, 3, 83. Prime factorization of 5976 in exponential form is:
5976 = 23 × 32 × 831
Step-2: Prime Factorization of 5991
Prime factors of 5991 are 3, 1997. Prime factorization of 5991 in exponential form is:
5991 = 31 × 19971
Step-3: Factors of 5976
List of positive integer factors of 5976 that divides 5976 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988
Step-4: Factors of 5991
List of positive integer factors of 5991 that divides 5976 without a remainder.
1, 3, 1997
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5976 and 5991. The biggest common factor number is the GCF number.
So the greatest common factor 5976 and 5991 is 3.
Also check out the Least Common Multiple of 5976 and 5991
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