What is the Greatest Common Factor of 76934 and 76947?
Greatest common factor (GCF) of 76934 and 76947 is 13.
GCF(76934,76947) = 13
We will now calculate the prime factors of 76934 and 76947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76934 and 76947.
How to find the GCF of 76934 and 76947?
We will first find the prime factorization of 76934 and 76947. After we will calculate the factors of 76934 and 76947 and find the biggest common factor number .
Step-1: Prime Factorization of 76934
Prime factors of 76934 are 2, 11, 13, 269. Prime factorization of 76934 in exponential form is:
76934 = 21 × 111 × 131 × 2691
Step-2: Prime Factorization of 76947
Prime factors of 76947 are 3, 13, 1973. Prime factorization of 76947 in exponential form is:
76947 = 31 × 131 × 19731
Step-3: Factors of 76934
List of positive integer factors of 76934 that divides 76934 without a remainder.
1, 2, 11, 13, 22, 26, 143, 269, 286, 538, 2959, 3497, 5918, 6994, 38467
Step-4: Factors of 76947
List of positive integer factors of 76947 that divides 76934 without a remainder.
1, 3, 13, 39, 1973, 5919, 25649
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76934 and 76947. The biggest common factor number is the GCF number.
So the greatest common factor 76934 and 76947 is 13.
Also check out the Least Common Multiple of 76934 and 76947
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