What is the Greatest Common Factor of 48217 and 48230?

Greatest common factor (GCF) of 48217 and 48230 is 13.

GCF(48217,48230) = 13

We will now calculate the prime factors of 48217 and 48230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48217 and 48230.

How to find the GCF of 48217 and 48230?

We will first find the prime factorization of 48217 and 48230. After we will calculate the factors of 48217 and 48230 and find the biggest common factor number .

Step-1: Prime Factorization of 48217

Prime factors of 48217 are 13, 3709. Prime factorization of 48217 in exponential form is:

48217 = 13¹ × 3709¹

Step-2: 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-3: Factors of 48217

List of positive integer factors of 48217 that divides 48217 without a remainder.

1, 13, 3709

Step-4: Factors of 48230

List of positive integer factors of 48230 that divides 48217 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48217 and 48230. The biggest common factor number is the GCF number.
So the greatest common factor 48217 and 48230 is 13.

Also check out the Least Common Multiple of 48217 and 48230