What is the Greatest Common Factor of 83830 and 83845?

Greatest common factor (GCF) of 83830 and 83845 is 5.

GCF(83830,83845) = 5

We will now calculate the prime factors of 83830 and 83845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83830 and 83845.

How to find the GCF of 83830 and 83845?

We will first find the prime factorization of 83830 and 83845. After we will calculate the factors of 83830 and 83845 and find the biggest common factor number .

Step-1: Prime Factorization of 83830

Prime factors of 83830 are 2, 5, 83, 101. Prime factorization of 83830 in exponential form is:

83830 = 2¹ × 5¹ × 83¹ × 101¹

Step-2: Prime Factorization of 83845

Prime factors of 83845 are 5, 41, 409. Prime factorization of 83845 in exponential form is:

83845 = 5¹ × 41¹ × 409¹

Step-3: Factors of 83830

List of positive integer factors of 83830 that divides 83830 without a remainder.

1, 2, 5, 10, 83, 101, 166, 202, 415, 505, 830, 1010, 8383, 16766, 41915

Step-4: Factors of 83845

List of positive integer factors of 83845 that divides 83830 without a remainder.

1, 5, 41, 205, 409, 2045, 16769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83830 and 83845. The biggest common factor number is the GCF number.
So the greatest common factor 83830 and 83845 is 5.

Also check out the Least Common Multiple of 83830 and 83845