What is the Greatest Common Factor of 83140 and 83145?

Greatest common factor (GCF) of 83140 and 83145 is 5.

GCF(83140,83145) = 5

We will now calculate the prime factors of 83140 and 83145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83140 and 83145.

How to find the GCF of 83140 and 83145?

We will first find the prime factorization of 83140 and 83145. After we will calculate the factors of 83140 and 83145 and find the biggest common factor number .

Step-1: Prime Factorization of 83140

Prime factors of 83140 are 2, 5, 4157. Prime factorization of 83140 in exponential form is:

83140 = 2² × 5¹ × 4157¹

Step-2: Prime Factorization of 83145

Prime factors of 83145 are 3, 5, 23, 241. Prime factorization of 83145 in exponential form is:

83145 = 3¹ × 5¹ × 23¹ × 241¹

Step-3: Factors of 83140

List of positive integer factors of 83140 that divides 83140 without a remainder.

1, 2, 4, 5, 10, 20, 4157, 8314, 16628, 20785, 41570

Step-4: Factors of 83145

List of positive integer factors of 83145 that divides 83140 without a remainder.

1, 3, 5, 15, 23, 69, 115, 241, 345, 723, 1205, 3615, 5543, 16629, 27715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83140 and 83145. The biggest common factor number is the GCF number.
So the greatest common factor 83140 and 83145 is 5.

Also check out the Least Common Multiple of 83140 and 83145