What is the Greatest Common Factor of 92435 and 92450?

Greatest common factor (GCF) of 92435 and 92450 is 5.

GCF(92435,92450) = 5

We will now calculate the prime factors of 92435 and 92450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92435 and 92450.

How to find the GCF of 92435 and 92450?

We will first find the prime factorization of 92435 and 92450. After we will calculate the factors of 92435 and 92450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92450

Prime factors of 92450 are 2, 5, 43. Prime factorization of 92450 in exponential form is:

92450 = 2¹ × 5² × 43²

Step-3: Factors of 92435

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

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

Step-4: Factors of 92450

List of positive integer factors of 92450 that divides 92435 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 1849, 2150, 3698, 9245, 18490, 46225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92435 and 92450. The biggest common factor number is the GCF number.
So the greatest common factor 92435 and 92450 is 5.

Also check out the Least Common Multiple of 92435 and 92450