What is the Greatest Common Factor of 92835 and 92850?

Greatest common factor (GCF) of 92835 and 92850 is 15.

GCF(92835,92850) = 15

We will now calculate the prime factors of 92835 and 92850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92835 and 92850.

How to find the GCF of 92835 and 92850?

We will first find the prime factorization of 92835 and 92850. After we will calculate the factors of 92835 and 92850 and find the biggest common factor number .

Step-1: Prime Factorization of 92835

Prime factors of 92835 are 3, 5, 2063. Prime factorization of 92835 in exponential form is:

92835 = 3² × 5¹ × 2063¹

Step-2: Prime Factorization of 92850

Prime factors of 92850 are 2, 3, 5, 619. Prime factorization of 92850 in exponential form is:

92850 = 2¹ × 3¹ × 5² × 619¹

Step-3: Factors of 92835

List of positive integer factors of 92835 that divides 92835 without a remainder.

1, 3, 5, 9, 15, 45, 2063, 6189, 10315, 18567, 30945

Step-4: Factors of 92850

List of positive integer factors of 92850 that divides 92835 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 619, 1238, 1857, 3095, 3714, 6190, 9285, 15475, 18570, 30950, 46425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92835 and 92850. The biggest common factor number is the GCF number.
So the greatest common factor 92835 and 92850 is 15.

Also check out the Least Common Multiple of 92835 and 92850