What is the Greatest Common Factor of 11781 and 11787?
Greatest common factor (GCF) of 11781 and 11787 is 3.
GCF(11781,11787) = 3
We will now calculate the prime factors of 11781 and 11787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11781 and 11787.
How to find the GCF of 11781 and 11787?
We will first find the prime factorization of 11781 and 11787. After we will calculate the factors of 11781 and 11787 and find the biggest common factor number .
Step-1: Prime Factorization of 11781
Prime factors of 11781 are 3, 7, 11, 17. Prime factorization of 11781 in exponential form is:
11781 = 32 × 71 × 111 × 171
Step-2: Prime Factorization of 11787
Prime factors of 11787 are 3, 3929. Prime factorization of 11787 in exponential form is:
11787 = 31 × 39291
Step-3: Factors of 11781
List of positive integer factors of 11781 that divides 11781 without a remainder.
1, 3, 7, 9, 11, 17, 21, 33, 51, 63, 77, 99, 119, 153, 187, 231, 357, 561, 693, 1071, 1309, 1683, 3927
Step-4: Factors of 11787
List of positive integer factors of 11787 that divides 11781 without a remainder.
1, 3, 3929
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11781 and 11787. The biggest common factor number is the GCF number.
So the greatest common factor 11781 and 11787 is 3.
Also check out the Least Common Multiple of 11781 and 11787
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