What is the Greatest Common Factor of 48501 and 48518?

Greatest common factor (GCF) of 48501 and 48518 is 17.

GCF(48501,48518) = 17

We will now calculate the prime factors of 48501 and 48518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48501 and 48518.

How to find the GCF of 48501 and 48518?

We will first find the prime factorization of 48501 and 48518. After we will calculate the factors of 48501 and 48518 and find the biggest common factor number .

Step-1: Prime Factorization of 48501

Prime factors of 48501 are 3, 17, 317. Prime factorization of 48501 in exponential form is:

48501 = 3² × 17¹ × 317¹

Step-2: Prime Factorization of 48518

Prime factors of 48518 are 2, 17, 1427. Prime factorization of 48518 in exponential form is:

48518 = 2¹ × 17¹ × 1427¹

Step-3: Factors of 48501

List of positive integer factors of 48501 that divides 48501 without a remainder.

1, 3, 9, 17, 51, 153, 317, 951, 2853, 5389, 16167

Step-4: Factors of 48518

List of positive integer factors of 48518 that divides 48501 without a remainder.

1, 2, 17, 34, 1427, 2854, 24259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48501 and 48518. The biggest common factor number is the GCF number.
So the greatest common factor 48501 and 48518 is 17.

Also check out the Least Common Multiple of 48501 and 48518