What is the Greatest Common Factor of 83150 and 83170?

Greatest common factor (GCF) of 83150 and 83170 is 10.

GCF(83150,83170) = 10

We will now calculate the prime factors of 83150 and 83170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83150 and 83170.

How to find the GCF of 83150 and 83170?

We will first find the prime factorization of 83150 and 83170. After we will calculate the factors of 83150 and 83170 and find the biggest common factor number .

Step-1: Prime Factorization of 83150

Prime factors of 83150 are 2, 5, 1663. Prime factorization of 83150 in exponential form is:

83150 = 2¹ × 5² × 1663¹

Step-2: Prime Factorization of 83170

Prime factors of 83170 are 2, 5, 8317. Prime factorization of 83170 in exponential form is:

83170 = 2¹ × 5¹ × 8317¹

Step-3: Factors of 83150

List of positive integer factors of 83150 that divides 83150 without a remainder.

1, 2, 5, 10, 25, 50, 1663, 3326, 8315, 16630, 41575

Step-4: Factors of 83170

List of positive integer factors of 83170 that divides 83150 without a remainder.

1, 2, 5, 10, 8317, 16634, 41585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83150 and 83170. The biggest common factor number is the GCF number.
So the greatest common factor 83150 and 83170 is 10.

Also check out the Least Common Multiple of 83150 and 83170