What is the Greatest Common Factor of 83555 and 83575?

Greatest common factor (GCF) of 83555 and 83575 is 5.

GCF(83555,83575) = 5

We will now calculate the prime factors of 83555 and 83575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83555 and 83575.

How to find the GCF of 83555 and 83575?

We will first find the prime factorization of 83555 and 83575. After we will calculate the factors of 83555 and 83575 and find the biggest common factor number .

Step-1: Prime Factorization of 83555

Prime factors of 83555 are 5, 17, 983. Prime factorization of 83555 in exponential form is:

83555 = 5¹ × 17¹ × 983¹

Step-2: Prime Factorization of 83575

Prime factors of 83575 are 5, 3343. Prime factorization of 83575 in exponential form is:

83575 = 5² × 3343¹

Step-3: Factors of 83555

List of positive integer factors of 83555 that divides 83555 without a remainder.

1, 5, 17, 85, 983, 4915, 16711

Step-4: Factors of 83575

List of positive integer factors of 83575 that divides 83555 without a remainder.

1, 5, 25, 3343, 16715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83555 and 83575. The biggest common factor number is the GCF number.
So the greatest common factor 83555 and 83575 is 5.

Also check out the Least Common Multiple of 83555 and 83575