What is the Greatest Common Factor of 48230 and 48243?

Greatest common factor (GCF) of 48230 and 48243 is 13.

GCF(48230,48243) = 13

We will now calculate the prime factors of 48230 and 48243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48230 and 48243.

How to find the GCF of 48230 and 48243?

We will first find the prime factorization of 48230 and 48243. After we will calculate the factors of 48230 and 48243 and find the biggest common factor number .

Step-1: Prime Factorization of 48230

Prime factors of 48230 are 2, 5, 7, 13, 53. Prime factorization of 48230 in exponential form is:

48230 = 2¹ × 5¹ × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 48243

Prime factors of 48243 are 3, 13, 1237. Prime factorization of 48243 in exponential form is:

48243 = 3¹ × 13¹ × 1237¹

Step-3: Factors of 48230

List of positive integer factors of 48230 that divides 48230 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 53, 65, 70, 91, 106, 130, 182, 265, 371, 455, 530, 689, 742, 910, 1378, 1855, 3445, 3710, 4823, 6890, 9646, 24115

Step-4: Factors of 48243

List of positive integer factors of 48243 that divides 48230 without a remainder.

1, 3, 13, 39, 1237, 3711, 16081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48230 and 48243. The biggest common factor number is the GCF number.
So the greatest common factor 48230 and 48243 is 13.

Also check out the Least Common Multiple of 48230 and 48243