What is the Greatest Common Factor of 48349 and 48356?

Greatest common factor (GCF) of 48349 and 48356 is 7.

GCF(48349,48356) = 7

We will now calculate the prime factors of 48349 and 48356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48349 and 48356.

How to find the GCF of 48349 and 48356?

We will first find the prime factorization of 48349 and 48356. After we will calculate the factors of 48349 and 48356 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 48356

Prime factors of 48356 are 2, 7, 11, 157. Prime factorization of 48356 in exponential form is:

48356 = 2² × 7¹ × 11¹ × 157¹

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 48356

List of positive integer factors of 48356 that divides 48349 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 157, 308, 314, 628, 1099, 1727, 2198, 3454, 4396, 6908, 12089, 24178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48349 and 48356. The biggest common factor number is the GCF number.
So the greatest common factor 48349 and 48356 is 7.

Also check out the Least Common Multiple of 48349 and 48356