What is the Greatest Common Factor of 82230 and 82238?

Greatest common factor (GCF) of 82230 and 82238 is 2.

GCF(82230,82238) = 2

We will now calculate the prime factors of 82230 and 82238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82230 and 82238.

How to find the GCF of 82230 and 82238?

We will first find the prime factorization of 82230 and 82238. After we will calculate the factors of 82230 and 82238 and find the biggest common factor number .

Step-1: Prime Factorization of 82230

Prime factors of 82230 are 2, 3, 5, 2741. Prime factorization of 82230 in exponential form is:

82230 = 2¹ × 3¹ × 5¹ × 2741¹

Step-2: Prime Factorization of 82238

Prime factors of 82238 are 2, 13, 3163. Prime factorization of 82238 in exponential form is:

82238 = 2¹ × 13¹ × 3163¹

Step-3: Factors of 82230

List of positive integer factors of 82230 that divides 82230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2741, 5482, 8223, 13705, 16446, 27410, 41115

Step-4: Factors of 82238

List of positive integer factors of 82238 that divides 82230 without a remainder.

1, 2, 13, 26, 3163, 6326, 41119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82230 and 82238. The biggest common factor number is the GCF number.
So the greatest common factor 82230 and 82238 is 2.

Also check out the Least Common Multiple of 82230 and 82238