What is the Greatest Common Factor of 92335 and 92350?

Greatest common factor (GCF) of 92335 and 92350 is 5.

GCF(92335,92350) = 5

We will now calculate the prime factors of 92335 and 92350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92335 and 92350.

How to find the GCF of 92335 and 92350?

We will first find the prime factorization of 92335 and 92350. After we will calculate the factors of 92335 and 92350 and find the biggest common factor number .

Step-1: Prime Factorization of 92335

Prime factors of 92335 are 5, 59, 313. Prime factorization of 92335 in exponential form is:

92335 = 5¹ × 59¹ × 313¹

Step-2: Prime Factorization of 92350

Prime factors of 92350 are 2, 5, 1847. Prime factorization of 92350 in exponential form is:

92350 = 2¹ × 5² × 1847¹

Step-3: Factors of 92335

List of positive integer factors of 92335 that divides 92335 without a remainder.

1, 5, 59, 295, 313, 1565, 18467

Step-4: Factors of 92350

List of positive integer factors of 92350 that divides 92335 without a remainder.

1, 2, 5, 10, 25, 50, 1847, 3694, 9235, 18470, 46175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92335 and 92350. The biggest common factor number is the GCF number.
So the greatest common factor 92335 and 92350 is 5.

Also check out the Least Common Multiple of 92335 and 92350