What is the Greatest Common Factor of 92805 and 92825?

Greatest common factor (GCF) of 92805 and 92825 is 5.

GCF(92805,92825) = 5

We will now calculate the prime factors of 92805 and 92825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92805 and 92825.

How to find the GCF of 92805 and 92825?

We will first find the prime factorization of 92805 and 92825. After we will calculate the factors of 92805 and 92825 and find the biggest common factor number .

Step-1: Prime Factorization of 92805

Prime factors of 92805 are 3, 5, 23, 269. Prime factorization of 92805 in exponential form is:

92805 = 3¹ × 5¹ × 23¹ × 269¹

Step-2: Prime Factorization of 92825

Prime factors of 92825 are 5, 47, 79. Prime factorization of 92825 in exponential form is:

92825 = 5² × 47¹ × 79¹

Step-3: Factors of 92805

List of positive integer factors of 92805 that divides 92805 without a remainder.

1, 3, 5, 15, 23, 69, 115, 269, 345, 807, 1345, 4035, 6187, 18561, 30935

Step-4: Factors of 92825

List of positive integer factors of 92825 that divides 92805 without a remainder.

1, 5, 25, 47, 79, 235, 395, 1175, 1975, 3713, 18565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92805 and 92825. The biggest common factor number is the GCF number.
So the greatest common factor 92805 and 92825 is 5.

Also check out the Least Common Multiple of 92805 and 92825