What is the Greatest Common Factor of 83220 and 83230?

Greatest common factor (GCF) of 83220 and 83230 is 10.

GCF(83220,83230) = 10

We will now calculate the prime factors of 83220 and 83230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83220 and 83230.

How to find the GCF of 83220 and 83230?

We will first find the prime factorization of 83220 and 83230. After we will calculate the factors of 83220 and 83230 and find the biggest common factor number .

Step-1: Prime Factorization of 83220

Prime factors of 83220 are 2, 3, 5, 19, 73. Prime factorization of 83220 in exponential form is:

83220 = 2² × 3¹ × 5¹ × 19¹ × 73¹

Step-2: 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-3: Factors of 83220

List of positive integer factors of 83220 that divides 83220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 73, 76, 95, 114, 146, 190, 219, 228, 285, 292, 365, 380, 438, 570, 730, 876, 1095, 1140, 1387, 1460, 2190, 2774, 4161, 4380, 5548, 6935, 8322, 13870, 16644, 20805, 27740, 41610

Step-4: Factors of 83230

List of positive integer factors of 83230 that divides 83220 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83220 and 83230. The biggest common factor number is the GCF number.
So the greatest common factor 83220 and 83230 is 10.

Also check out the Least Common Multiple of 83220 and 83230