What is the Greatest Common Factor of 93020 and 93035?

Greatest common factor (GCF) of 93020 and 93035 is 5.

GCF(93020,93035) = 5

We will now calculate the prime factors of 93020 and 93035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93020 and 93035.

How to find the GCF of 93020 and 93035?

We will first find the prime factorization of 93020 and 93035. After we will calculate the factors of 93020 and 93035 and find the biggest common factor number .

Step-1: Prime Factorization of 93020

Prime factors of 93020 are 2, 5, 4651. Prime factorization of 93020 in exponential form is:

93020 = 2² × 5¹ × 4651¹

Step-2: Prime Factorization of 93035

Prime factors of 93035 are 5, 23, 809. Prime factorization of 93035 in exponential form is:

93035 = 5¹ × 23¹ × 809¹

Step-3: Factors of 93020

List of positive integer factors of 93020 that divides 93020 without a remainder.

1, 2, 4, 5, 10, 20, 4651, 9302, 18604, 23255, 46510

Step-4: Factors of 93035

List of positive integer factors of 93035 that divides 93020 without a remainder.

1, 5, 23, 115, 809, 4045, 18607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93020 and 93035. The biggest common factor number is the GCF number.
So the greatest common factor 93020 and 93035 is 5.

Also check out the Least Common Multiple of 93020 and 93035