What is the Greatest Common Factor of 92425 and 92435?

Greatest common factor (GCF) of 92425 and 92435 is 5.

GCF(92425,92435) = 5

We will now calculate the prime factors of 92425 and 92435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92425 and 92435.

How to find the GCF of 92425 and 92435?

We will first find the prime factorization of 92425 and 92435. After we will calculate the factors of 92425 and 92435 and find the biggest common factor number .

Step-1: Prime Factorization of 92425

Prime factors of 92425 are 5, 3697. Prime factorization of 92425 in exponential form is:

92425 = 5² × 3697¹

Step-2: Prime Factorization of 92435

Prime factors of 92435 are 5, 7, 19, 139. Prime factorization of 92435 in exponential form is:

92435 = 5¹ × 7¹ × 19¹ × 139¹

Step-3: Factors of 92425

List of positive integer factors of 92425 that divides 92425 without a remainder.

1, 5, 25, 3697, 18485

Step-4: Factors of 92435

List of positive integer factors of 92435 that divides 92425 without a remainder.

1, 5, 7, 19, 35, 95, 133, 139, 665, 695, 973, 2641, 4865, 13205, 18487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92425 and 92435. The biggest common factor number is the GCF number.
So the greatest common factor 92425 and 92435 is 5.

Also check out the Least Common Multiple of 92425 and 92435