What is the Greatest Common Factor of 48523 and 48542?

Greatest common factor (GCF) of 48523 and 48542 is 1.

GCF(48523,48542) = 1

We will now calculate the prime factors of 48523 and 48542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48523 and 48542.

How to find the GCF of 48523 and 48542?

We will first find the prime factorization of 48523 and 48542. After we will calculate the factors of 48523 and 48542 and find the biggest common factor number .

Step-1: Prime Factorization of 48523

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

48523 = 48523¹

Step-2: Prime Factorization of 48542

Prime factors of 48542 are 2, 13, 1867. Prime factorization of 48542 in exponential form is:

48542 = 2¹ × 13¹ × 1867¹

Step-3: Factors of 48523

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

Step-4: Factors of 48542

List of positive integer factors of 48542 that divides 48523 without a remainder.

1, 2, 13, 26, 1867, 3734, 24271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48523 and 48542. The biggest common factor number is the GCF number.
So the greatest common factor 48523 and 48542 is 1.

Also check out the Least Common Multiple of 48523 and 48542