What is the Greatest Common Factor of 11883 and 11900?
Greatest common factor (GCF) of 11883 and 11900 is 17.
GCF(11883,11900) = 17
We will now calculate the prime factors of 11883 and 11900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11883 and 11900.
How to find the GCF of 11883 and 11900?
We will first find the prime factorization of 11883 and 11900. After we will calculate the factors of 11883 and 11900 and find the biggest common factor number .
Step-1: Prime Factorization of 11883
Prime factors of 11883 are 3, 17, 233. Prime factorization of 11883 in exponential form is:
11883 = 31 × 171 × 2331
Step-2: Prime Factorization of 11900
Prime factors of 11900 are 2, 5, 7, 17. Prime factorization of 11900 in exponential form is:
11900 = 22 × 52 × 71 × 171
Step-3: Factors of 11883
List of positive integer factors of 11883 that divides 11883 without a remainder.
1, 3, 17, 51, 233, 699, 3961
Step-4: Factors of 11900
List of positive integer factors of 11900 that divides 11883 without a remainder.
1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 140, 170, 175, 238, 340, 350, 425, 476, 595, 700, 850, 1190, 1700, 2380, 2975, 5950
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11883 and 11900. The biggest common factor number is the GCF number.
So the greatest common factor 11883 and 11900 is 17.
Also check out the Least Common Multiple of 11883 and 11900
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Related Greatest Common Factors of 11900
- GCF of 11900 and 11904
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- GCF of 11900 and 11910
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- GCF of 11900 and 11915
- GCF of 11900 and 11916
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