What is the Greatest Common Factor of 48448 and 48462?

Greatest common factor (GCF) of 48448 and 48462 is 2.

GCF(48448,48462) = 2

We will now calculate the prime factors of 48448 and 48462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48448 and 48462.

How to find the GCF of 48448 and 48462?

We will first find the prime factorization of 48448 and 48462. After we will calculate the factors of 48448 and 48462 and find the biggest common factor number .

Step-1: Prime Factorization of 48448

Prime factors of 48448 are 2, 757. Prime factorization of 48448 in exponential form is:

48448 = 2⁶ × 757¹

Step-2: Prime Factorization of 48462

Prime factors of 48462 are 2, 3, 41, 197. Prime factorization of 48462 in exponential form is:

48462 = 2¹ × 3¹ × 41¹ × 197¹

Step-3: Factors of 48448

List of positive integer factors of 48448 that divides 48448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 757, 1514, 3028, 6056, 12112, 24224

Step-4: Factors of 48462

List of positive integer factors of 48462 that divides 48448 without a remainder.

1, 2, 3, 6, 41, 82, 123, 197, 246, 394, 591, 1182, 8077, 16154, 24231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48448 and 48462. The biggest common factor number is the GCF number.
So the greatest common factor 48448 and 48462 is 2.

Also check out the Least Common Multiple of 48448 and 48462