What is the Greatest Common Factor of 77241 and 77259?
Greatest common factor (GCF) of 77241 and 77259 is 3.
GCF(77241,77259) = 3
We will now calculate the prime factors of 77241 and 77259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77241 and 77259.
How to find the GCF of 77241 and 77259?
We will first find the prime factorization of 77241 and 77259. After we will calculate the factors of 77241 and 77259 and find the biggest common factor number .
Step-1: Prime Factorization of 77241
Prime factors of 77241 are 3, 25747. Prime factorization of 77241 in exponential form is:
77241 = 31 × 257471
Step-2: Prime Factorization of 77259
Prime factors of 77259 are 3, 7, 13, 283. Prime factorization of 77259 in exponential form is:
77259 = 31 × 71 × 131 × 2831
Step-3: Factors of 77241
List of positive integer factors of 77241 that divides 77241 without a remainder.
1, 3, 25747
Step-4: Factors of 77259
List of positive integer factors of 77259 that divides 77241 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273, 283, 849, 1981, 3679, 5943, 11037, 25753
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77241 and 77259. The biggest common factor number is the GCF number.
So the greatest common factor 77241 and 77259 is 3.
Also check out the Least Common Multiple of 77241 and 77259
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