What is the Greatest Common Factor of 93820 and 93835?

Greatest common factor (GCF) of 93820 and 93835 is 5.

GCF(93820,93835) = 5

We will now calculate the prime factors of 93820 and 93835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93820 and 93835.

How to find the GCF of 93820 and 93835?

We will first find the prime factorization of 93820 and 93835. After we will calculate the factors of 93820 and 93835 and find the biggest common factor number .

Step-1: Prime Factorization of 93820

Prime factors of 93820 are 2, 5, 4691. Prime factorization of 93820 in exponential form is:

93820 = 2² × 5¹ × 4691¹

Step-2: Prime Factorization of 93835

Prime factors of 93835 are 5, 7, 383. Prime factorization of 93835 in exponential form is:

93835 = 5¹ × 7² × 383¹

Step-3: Factors of 93820

List of positive integer factors of 93820 that divides 93820 without a remainder.

1, 2, 4, 5, 10, 20, 4691, 9382, 18764, 23455, 46910

Step-4: Factors of 93835

List of positive integer factors of 93835 that divides 93820 without a remainder.

1, 5, 7, 35, 49, 245, 383, 1915, 2681, 13405, 18767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93820 and 93835. The biggest common factor number is the GCF number.
So the greatest common factor 93820 and 93835 is 5.

Also check out the Least Common Multiple of 93820 and 93835