What is the Greatest Common Factor of 94731 and 94745?
Greatest common factor (GCF) of 94731 and 94745 is 7.
GCF(94731,94745) = 7
We will now calculate the prime factors of 94731 and 94745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94731 and 94745.
How to find the GCF of 94731 and 94745?
We will first find the prime factorization of 94731 and 94745. After we will calculate the factors of 94731 and 94745 and find the biggest common factor number .
Step-1: Prime Factorization of 94731
Prime factors of 94731 are 3, 7, 13, 347. Prime factorization of 94731 in exponential form is:
94731 = 31 × 71 × 131 × 3471
Step-2: Prime Factorization of 94745
Prime factors of 94745 are 5, 7, 2707. Prime factorization of 94745 in exponential form is:
94745 = 51 × 71 × 27071
Step-3: Factors of 94731
List of positive integer factors of 94731 that divides 94731 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273, 347, 1041, 2429, 4511, 7287, 13533, 31577
Step-4: Factors of 94745
List of positive integer factors of 94745 that divides 94731 without a remainder.
1, 5, 7, 35, 2707, 13535, 18949
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 94731 and 94745. The biggest common factor number is the GCF number.
So the greatest common factor 94731 and 94745 is 7.
Also check out the Least Common Multiple of 94731 and 94745
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