What is the Greatest Common Factor of 48176 and 48188?

Greatest common factor (GCF) of 48176 and 48188 is 4.

GCF(48176,48188) = 4

We will now calculate the prime factors of 48176 and 48188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48176 and 48188.

How to find the GCF of 48176 and 48188?

We will first find the prime factorization of 48176 and 48188. After we will calculate the factors of 48176 and 48188 and find the biggest common factor number .

Step-1: Prime Factorization of 48176

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

48176 = 2⁴ × 3011¹

Step-2: Prime Factorization of 48188

Prime factors of 48188 are 2, 7, 1721. Prime factorization of 48188 in exponential form is:

48188 = 2² × 7¹ × 1721¹

Step-3: Factors of 48176

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

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

Step-4: Factors of 48188

List of positive integer factors of 48188 that divides 48176 without a remainder.

1, 2, 4, 7, 14, 28, 1721, 3442, 6884, 12047, 24094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48176 and 48188. The biggest common factor number is the GCF number.
So the greatest common factor 48176 and 48188 is 4.

Also check out the Least Common Multiple of 48176 and 48188