What is the Greatest Common Factor of 48376 and 48392?

Greatest common factor (GCF) of 48376 and 48392 is 8.

GCF(48376,48392) = 8

We will now calculate the prime factors of 48376 and 48392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48376 and 48392.

How to find the GCF of 48376 and 48392?

We will first find the prime factorization of 48376 and 48392. After we will calculate the factors of 48376 and 48392 and find the biggest common factor number .

Step-1: Prime Factorization of 48376

Prime factors of 48376 are 2, 6047. Prime factorization of 48376 in exponential form is:

48376 = 2³ × 6047¹

Step-2: Prime Factorization of 48392

Prime factors of 48392 are 2, 23, 263. Prime factorization of 48392 in exponential form is:

48392 = 2³ × 23¹ × 263¹

Step-3: Factors of 48376

List of positive integer factors of 48376 that divides 48376 without a remainder.

1, 2, 4, 8, 6047, 12094, 24188

Step-4: Factors of 48392

List of positive integer factors of 48392 that divides 48376 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 263, 526, 1052, 2104, 6049, 12098, 24196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48376 and 48392. The biggest common factor number is the GCF number.
So the greatest common factor 48376 and 48392 is 8.

Also check out the Least Common Multiple of 48376 and 48392