What is the Greatest Common Factor of 11784 and 11798?
Greatest common factor (GCF) of 11784 and 11798 is 2.
GCF(11784,11798) = 2
We will now calculate the prime factors of 11784 and 11798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11784 and 11798.
How to find the GCF of 11784 and 11798?
We will first find the prime factorization of 11784 and 11798. After we will calculate the factors of 11784 and 11798 and find the biggest common factor number .
Step-1: Prime Factorization of 11784
Prime factors of 11784 are 2, 3, 491. Prime factorization of 11784 in exponential form is:
11784 = 23 × 31 × 4911
Step-2: Prime Factorization of 11798
Prime factors of 11798 are 2, 17, 347. Prime factorization of 11798 in exponential form is:
11798 = 21 × 171 × 3471
Step-3: Factors of 11784
List of positive integer factors of 11784 that divides 11784 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 491, 982, 1473, 1964, 2946, 3928, 5892
Step-4: Factors of 11798
List of positive integer factors of 11798 that divides 11784 without a remainder.
1, 2, 17, 34, 347, 694, 5899
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11784 and 11798. The biggest common factor number is the GCF number.
So the greatest common factor 11784 and 11798 is 2.
Also check out the Least Common Multiple of 11784 and 11798
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Related Greatest Common Factors of 11798
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