What is the Greatest Common Factor of 48503 and 48521?

Greatest common factor (GCF) of 48503 and 48521 is 1.

GCF(48503,48521) = 1

We will now calculate the prime factors of 48503 and 48521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48503 and 48521.

How to find the GCF of 48503 and 48521?

We will first find the prime factorization of 48503 and 48521. After we will calculate the factors of 48503 and 48521 and find the biggest common factor number .

Step-1: Prime Factorization of 48503

Prime factors of 48503 are 7, 13, 41. Prime factorization of 48503 in exponential form is:

48503 = 7¹ × 13² × 41¹

Step-2: Prime Factorization of 48521

Prime factors of 48521 are 11, 401. Prime factorization of 48521 in exponential form is:

48521 = 11² × 401¹

Step-3: Factors of 48503

List of positive integer factors of 48503 that divides 48503 without a remainder.

1, 7, 13, 41, 91, 169, 287, 533, 1183, 3731, 6929

Step-4: Factors of 48521

List of positive integer factors of 48521 that divides 48503 without a remainder.

1, 11, 121, 401, 4411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48503 and 48521. The biggest common factor number is the GCF number.
So the greatest common factor 48503 and 48521 is 1.

Also check out the Least Common Multiple of 48503 and 48521