What is the Greatest Common Factor of 48356 and 48367?

Greatest common factor (GCF) of 48356 and 48367 is 11.

GCF(48356,48367) = 11

We will now calculate the prime factors of 48356 and 48367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48356 and 48367.

How to find the GCF of 48356 and 48367?

We will first find the prime factorization of 48356 and 48367. After we will calculate the factors of 48356 and 48367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48367

Prime factors of 48367 are 11, 4397. Prime factorization of 48367 in exponential form is:

48367 = 11¹ × 4397¹

Step-3: Factors of 48356

List of positive integer factors of 48356 that divides 48356 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

Step-4: Factors of 48367

List of positive integer factors of 48367 that divides 48356 without a remainder.

1, 11, 4397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48356 and 48367. The biggest common factor number is the GCF number.
So the greatest common factor 48356 and 48367 is 11.

Also check out the Least Common Multiple of 48356 and 48367