What is the Greatest Common Factor of 48036 and 48049?

Greatest common factor (GCF) of 48036 and 48049 is 1.

GCF(48036,48049) = 1

We will now calculate the prime factors of 48036 and 48049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48036 and 48049.

How to find the GCF of 48036 and 48049?

We will first find the prime factorization of 48036 and 48049. After we will calculate the factors of 48036 and 48049 and find the biggest common factor number .

Step-1: Prime Factorization of 48036

Prime factors of 48036 are 2, 3, 4003. Prime factorization of 48036 in exponential form is:

48036 = 2² × 3¹ × 4003¹

Step-2: Prime Factorization of 48049

Prime factors of 48049 are 48049. Prime factorization of 48049 in exponential form is:

48049 = 48049¹

Step-3: Factors of 48036

List of positive integer factors of 48036 that divides 48036 without a remainder.

1, 2, 3, 4, 6, 12, 4003, 8006, 12009, 16012, 24018

Step-4: Factors of 48049

List of positive integer factors of 48049 that divides 48036 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48036 and 48049. The biggest common factor number is the GCF number.
So the greatest common factor 48036 and 48049 is 1.

Also check out the Least Common Multiple of 48036 and 48049