What is the Greatest Common Factor of 76845 and 76865?
Greatest common factor (GCF) of 76845 and 76865 is 5.
GCF(76845,76865) = 5
We will now calculate the prime factors of 76845 and 76865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76845 and 76865.
How to find the GCF of 76845 and 76865?
We will first find the prime factorization of 76845 and 76865. After we will calculate the factors of 76845 and 76865 and find the biggest common factor number .
Step-1: Prime Factorization of 76845
Prime factors of 76845 are 3, 5, 47, 109. Prime factorization of 76845 in exponential form is:
76845 = 31 × 51 × 471 × 1091
Step-2: Prime Factorization of 76865
Prime factors of 76865 are 5, 15373. Prime factorization of 76865 in exponential form is:
76865 = 51 × 153731
Step-3: Factors of 76845
List of positive integer factors of 76845 that divides 76845 without a remainder.
1, 3, 5, 15, 47, 109, 141, 235, 327, 545, 705, 1635, 5123, 15369, 25615
Step-4: Factors of 76865
List of positive integer factors of 76865 that divides 76845 without a remainder.
1, 5, 15373
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76845 and 76865. The biggest common factor number is the GCF number.
So the greatest common factor 76845 and 76865 is 5.
Also check out the Least Common Multiple of 76845 and 76865
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