What is the Greatest Common Factor of 48344 and 48349?

Greatest common factor (GCF) of 48344 and 48349 is 1.

GCF(48344,48349) = 1

We will now calculate the prime factors of 48344 and 48349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48344 and 48349.

How to find the GCF of 48344 and 48349?

We will first find the prime factorization of 48344 and 48349. After we will calculate the factors of 48344 and 48349 and find the biggest common factor number .

Step-1: Prime Factorization of 48344

Prime factors of 48344 are 2, 6043. Prime factorization of 48344 in exponential form is:

48344 = 2³ × 6043¹

Step-2: Prime Factorization of 48349

Prime factors of 48349 are 7, 6907. Prime factorization of 48349 in exponential form is:

48349 = 7¹ × 6907¹

Step-3: Factors of 48344

List of positive integer factors of 48344 that divides 48344 without a remainder.

1, 2, 4, 8, 6043, 12086, 24172

Step-4: Factors of 48349

List of positive integer factors of 48349 that divides 48344 without a remainder.

1, 7, 6907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48344 and 48349. The biggest common factor number is the GCF number.
So the greatest common factor 48344 and 48349 is 1.

Also check out the Least Common Multiple of 48344 and 48349