What is the Greatest Common Factor of 83230 and 83250?

Greatest common factor (GCF) of 83230 and 83250 is 10.

GCF(83230,83250) = 10

We will now calculate the prime factors of 83230 and 83250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83230 and 83250.

How to find the GCF of 83230 and 83250?

We will first find the prime factorization of 83230 and 83250. After we will calculate the factors of 83230 and 83250 and find the biggest common factor number .

Step-1: Prime Factorization of 83230

Prime factors of 83230 are 2, 5, 7, 29, 41. Prime factorization of 83230 in exponential form is:

83230 = 2¹ × 5¹ × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 83250

Prime factors of 83250 are 2, 3, 5, 37. Prime factorization of 83250 in exponential form is:

83250 = 2¹ × 3² × 5³ × 37¹

Step-3: Factors of 83230

List of positive integer factors of 83230 that divides 83230 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 41, 58, 70, 82, 145, 203, 205, 287, 290, 406, 410, 574, 1015, 1189, 1435, 2030, 2378, 2870, 5945, 8323, 11890, 16646, 41615

Step-4: Factors of 83250

List of positive integer factors of 83250 that divides 83230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 37, 45, 50, 74, 75, 90, 111, 125, 150, 185, 222, 225, 250, 333, 370, 375, 450, 555, 666, 750, 925, 1110, 1125, 1665, 1850, 2250, 2775, 3330, 4625, 5550, 8325, 9250, 13875, 16650, 27750, 41625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83230 and 83250. The biggest common factor number is the GCF number.
So the greatest common factor 83230 and 83250 is 10.

Also check out the Least Common Multiple of 83230 and 83250