What is the Greatest Common Factor of 11976 and 11991?
Greatest common factor (GCF) of 11976 and 11991 is 3.
GCF(11976,11991) = 3
We will now calculate the prime factors of 11976 and 11991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11976 and 11991.
How to find the GCF of 11976 and 11991?
We will first find the prime factorization of 11976 and 11991. After we will calculate the factors of 11976 and 11991 and find the biggest common factor number .
Step-1: Prime Factorization of 11976
Prime factors of 11976 are 2, 3, 499. Prime factorization of 11976 in exponential form is:
11976 = 23 × 31 × 4991
Step-2: Prime Factorization of 11991
Prime factors of 11991 are 3, 7, 571. Prime factorization of 11991 in exponential form is:
11991 = 31 × 71 × 5711
Step-3: Factors of 11976
List of positive integer factors of 11976 that divides 11976 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 499, 998, 1497, 1996, 2994, 3992, 5988
Step-4: Factors of 11991
List of positive integer factors of 11991 that divides 11976 without a remainder.
1, 3, 7, 21, 571, 1713, 3997
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11976 and 11991. The biggest common factor number is the GCF number.
So the greatest common factor 11976 and 11991 is 3.
Also check out the Least Common Multiple of 11976 and 11991
Related Greatest Common Factors of 11976
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- GCF of 11976 and 11991
- GCF of 11976 and 11992
- GCF of 11976 and 11993
- GCF of 11976 and 11994
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Related Greatest Common Factors of 11991
- GCF of 11991 and 11995
- GCF of 11991 and 11996
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- GCF of 11991 and 11998
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- GCF of 11991 and 12001
- GCF of 11991 and 12002
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- GCF of 11991 and 12004
- GCF of 11991 and 12005
- GCF of 11991 and 12006
- GCF of 11991 and 12007
- GCF of 11991 and 12008
- GCF of 11991 and 12009
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