What is the Greatest Common Factor of 92325 and 92345?

Greatest common factor (GCF) of 92325 and 92345 is 5.

GCF(92325,92345) = 5

We will now calculate the prime factors of 92325 and 92345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92325 and 92345.

How to find the GCF of 92325 and 92345?

We will first find the prime factorization of 92325 and 92345. After we will calculate the factors of 92325 and 92345 and find the biggest common factor number .

Step-1: Prime Factorization of 92325

Prime factors of 92325 are 3, 5, 1231. Prime factorization of 92325 in exponential form is:

92325 = 3¹ × 5² × 1231¹

Step-2: Prime Factorization of 92345

Prime factors of 92345 are 5, 11, 23, 73. Prime factorization of 92345 in exponential form is:

92345 = 5¹ × 11¹ × 23¹ × 73¹

Step-3: Factors of 92325

List of positive integer factors of 92325 that divides 92325 without a remainder.

1, 3, 5, 15, 25, 75, 1231, 3693, 6155, 18465, 30775

Step-4: Factors of 92345

List of positive integer factors of 92345 that divides 92325 without a remainder.

1, 5, 11, 23, 55, 73, 115, 253, 365, 803, 1265, 1679, 4015, 8395, 18469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92325 and 92345. The biggest common factor number is the GCF number.
So the greatest common factor 92325 and 92345 is 5.

Also check out the Least Common Multiple of 92325 and 92345