What is the Greatest Common Factor of 48349 and 48368?

Greatest common factor (GCF) of 48349 and 48368 is 1.

GCF(48349,48368) = 1

We will now calculate the prime factors of 48349 and 48368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48349 and 48368.

How to find the GCF of 48349 and 48368?

We will first find the prime factorization of 48349 and 48368. After we will calculate the factors of 48349 and 48368 and find the biggest common factor number .

Step-1: Prime Factorization of 48349

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

48349 = 7¹ × 6907¹

Step-2: Prime Factorization of 48368

Prime factors of 48368 are 2, 3023. Prime factorization of 48368 in exponential form is:

48368 = 2⁴ × 3023¹

Step-3: Factors of 48349

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

1, 7, 6907

Step-4: Factors of 48368

List of positive integer factors of 48368 that divides 48349 without a remainder.

1, 2, 4, 8, 16, 3023, 6046, 12092, 24184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48349 and 48368. The biggest common factor number is the GCF number.
So the greatest common factor 48349 and 48368 is 1.

Also check out the Least Common Multiple of 48349 and 48368