What is the Greatest Common Factor of 10230 and 10248?

Greatest common factor (GCF) of 10230 and 10248 is 6.

GCF(10230,10248) = 6

We will now calculate the prime factors of 10230 and 10248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10230 and 10248.

How to find the GCF of 10230 and 10248?

We will first find the prime factorization of 10230 and 10248. After we will calculate the factors of 10230 and 10248 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 10248

Prime factors of 10248 are 2, 3, 7, 61. Prime factorization of 10248 in exponential form is:

10248 = 2³ × 3¹ × 7¹ × 61¹

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 10248

List of positive integer factors of 10248 that divides 10230 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10230 and 10248. The biggest common factor number is the GCF number.
So the greatest common factor 10230 and 10248 is 6.

Also check out the Least Common Multiple of 10230 and 10248