What is the Greatest Common Factor of 11916 and 11928?
Greatest common factor (GCF) of 11916 and 11928 is 12.
GCF(11916,11928) = 12
We will now calculate the prime factors of 11916 and 11928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11916 and 11928.
How to find the GCF of 11916 and 11928?
We will first find the prime factorization of 11916 and 11928. After we will calculate the factors of 11916 and 11928 and find the biggest common factor number .
Step-1: Prime Factorization of 11916
Prime factors of 11916 are 2, 3, 331. Prime factorization of 11916 in exponential form is:
11916 = 22 × 32 × 3311
Step-2: Prime Factorization of 11928
Prime factors of 11928 are 2, 3, 7, 71. Prime factorization of 11928 in exponential form is:
11928 = 23 × 31 × 71 × 711
Step-3: Factors of 11916
List of positive integer factors of 11916 that divides 11916 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 331, 662, 993, 1324, 1986, 2979, 3972, 5958
Step-4: Factors of 11928
List of positive integer factors of 11928 that divides 11916 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 71, 84, 142, 168, 213, 284, 426, 497, 568, 852, 994, 1491, 1704, 1988, 2982, 3976, 5964
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11916 and 11928. The biggest common factor number is the GCF number.
So the greatest common factor 11916 and 11928 is 12.
Also check out the Least Common Multiple of 11916 and 11928
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