What is the Greatest Common Factor of 48505 and 48523?

Greatest common factor (GCF) of 48505 and 48523 is 1.

GCF(48505,48523) = 1

We will now calculate the prime factors of 48505 and 48523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48505 and 48523.

How to find the GCF of 48505 and 48523?

We will first find the prime factorization of 48505 and 48523. After we will calculate the factors of 48505 and 48523 and find the biggest common factor number .

Step-1: Prime Factorization of 48505

Prime factors of 48505 are 5, 89, 109. Prime factorization of 48505 in exponential form is:

48505 = 5¹ × 89¹ × 109¹

Step-2: Prime Factorization of 48523

Prime factors of 48523 are 48523. Prime factorization of 48523 in exponential form is:

48523 = 48523¹

Step-3: Factors of 48505

List of positive integer factors of 48505 that divides 48505 without a remainder.

1, 5, 89, 109, 445, 545, 9701

Step-4: Factors of 48523

List of positive integer factors of 48523 that divides 48505 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48505 and 48523. The biggest common factor number is the GCF number.
So the greatest common factor 48505 and 48523 is 1.

Also check out the Least Common Multiple of 48505 and 48523