What is the Greatest Common Factor of 48156 and 48176?

Greatest common factor (GCF) of 48156 and 48176 is 4.

GCF(48156,48176) = 4

We will now calculate the prime factors of 48156 and 48176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48156 and 48176.

How to find the GCF of 48156 and 48176?

We will first find the prime factorization of 48156 and 48176. After we will calculate the factors of 48156 and 48176 and find the biggest common factor number .

Step-1: Prime Factorization of 48156

Prime factors of 48156 are 2, 3, 4013. Prime factorization of 48156 in exponential form is:

48156 = 2² × 3¹ × 4013¹

Step-2: Prime Factorization of 48176

Prime factors of 48176 are 2, 3011. Prime factorization of 48176 in exponential form is:

48176 = 2⁴ × 3011¹

Step-3: Factors of 48156

List of positive integer factors of 48156 that divides 48156 without a remainder.

1, 2, 3, 4, 6, 12, 4013, 8026, 12039, 16052, 24078

Step-4: Factors of 48176

List of positive integer factors of 48176 that divides 48156 without a remainder.

1, 2, 4, 8, 16, 3011, 6022, 12044, 24088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48156 and 48176. The biggest common factor number is the GCF number.
So the greatest common factor 48156 and 48176 is 4.

Also check out the Least Common Multiple of 48156 and 48176