What is the Greatest Common Factor of 48602 and 48621?

Greatest common factor (GCF) of 48602 and 48621 is 19.

GCF(48602,48621) = 19

We will now calculate the prime factors of 48602 and 48621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48602 and 48621.

How to find the GCF of 48602 and 48621?

We will first find the prime factorization of 48602 and 48621. After we will calculate the factors of 48602 and 48621 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48621

Prime factors of 48621 are 3, 19, 853. Prime factorization of 48621 in exponential form is:

48621 = 3¹ × 19¹ × 853¹

Step-3: Factors of 48602

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

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

Step-4: Factors of 48621

List of positive integer factors of 48621 that divides 48602 without a remainder.

1, 3, 19, 57, 853, 2559, 16207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48602 and 48621. The biggest common factor number is the GCF number.
So the greatest common factor 48602 and 48621 is 19.

Also check out the Least Common Multiple of 48602 and 48621