What is the Greatest Common Factor of 10230 and 10244?

Greatest common factor (GCF) of 10230 and 10244 is 2.

GCF(10230,10244) = 2

We will now calculate the prime factors of 10230 and 10244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10230 and 10244.

How to find the GCF of 10230 and 10244?

We will first find the prime factorization of 10230 and 10244. After we will calculate the factors of 10230 and 10244 and find the biggest common factor number .

Step-1: Prime Factorization of 10230

Prime factors of 10230 are 2, 3, 5, 11, 31. Prime factorization of 10230 in exponential form is:

10230 = 2¹ × 3¹ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 10244

Prime factors of 10244 are 2, 13, 197. Prime factorization of 10244 in exponential form is:

10244 = 2² × 13¹ × 197¹

Step-3: Factors of 10230

List of positive integer factors of 10230 that divides 10230 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115

Step-4: Factors of 10244

List of positive integer factors of 10244 that divides 10230 without a remainder.

1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10230 and 10244. The biggest common factor number is the GCF number.
So the greatest common factor 10230 and 10244 is 2.

Also check out the Least Common Multiple of 10230 and 10244