What is the Greatest Common Factor of 48583 and 48602?

Greatest common factor (GCF) of 48583 and 48602 is 19.

GCF(48583,48602) = 19

We will now calculate the prime factors of 48583 and 48602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48583 and 48602.

How to find the GCF of 48583 and 48602?

We will first find the prime factorization of 48583 and 48602. After we will calculate the factors of 48583 and 48602 and find the biggest common factor number .

Step-1: Prime Factorization of 48583

Prime factors of 48583 are 19, 2557. Prime factorization of 48583 in exponential form is:

48583 = 19¹ × 2557¹

Step-2: Prime Factorization of 48602

Prime factors of 48602 are 2, 19, 1279. Prime factorization of 48602 in exponential form is:

48602 = 2¹ × 19¹ × 1279¹

Step-3: Factors of 48583

List of positive integer factors of 48583 that divides 48583 without a remainder.

1, 19, 2557

Step-4: Factors of 48602

List of positive integer factors of 48602 that divides 48583 without a remainder.

1, 2, 19, 38, 1279, 2558, 24301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48583 and 48602. The biggest common factor number is the GCF number.
So the greatest common factor 48583 and 48602 is 19.

Also check out the Least Common Multiple of 48583 and 48602