What is the Greatest Common Factor of 93825 and 93845?
Greatest common factor (GCF) of 93825 and 93845 is 5.
GCF(93825,93845) = 5
We will now calculate the prime factors of 93825 and 93845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93825 and 93845.
How to find the GCF of 93825 and 93845?
We will first find the prime factorization of 93825 and 93845. After we will calculate the factors of 93825 and 93845 and find the biggest common factor number .
Step-1: Prime Factorization of 93825
Prime factors of 93825 are 3, 5, 139. Prime factorization of 93825 in exponential form is:
93825 = 33 × 52 × 1391
Step-2: Prime Factorization of 93845
Prime factors of 93845 are 5, 137. Prime factorization of 93845 in exponential form is:
93845 = 51 × 1372
Step-3: Factors of 93825
List of positive integer factors of 93825 that divides 93825 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 139, 225, 417, 675, 695, 1251, 2085, 3475, 3753, 6255, 10425, 18765, 31275
Step-4: Factors of 93845
List of positive integer factors of 93845 that divides 93825 without a remainder.
1, 5, 137, 685, 18769
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 93825 and 93845. The biggest common factor number is the GCF number.
So the greatest common factor 93825 and 93845 is 5.
Also check out the Least Common Multiple of 93825 and 93845
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