What is the Greatest Common Factor of 76448 and 76460?

Greatest common factor (GCF) of 76448 and 76460 is 4.

GCF(76448,76460) = 4

We will now calculate the prime factors of 76448 and 76460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76448 and 76460.

How to find the GCF of 76448 and 76460?

We will first find the prime factorization of 76448 and 76460. After we will calculate the factors of 76448 and 76460 and find the biggest common factor number .

Step-1: Prime Factorization of 76448

Prime factors of 76448 are 2, 2389. Prime factorization of 76448 in exponential form is:

76448 = 2⁵ × 2389¹

Step-2: Prime Factorization of 76460

Prime factors of 76460 are 2, 5, 3823. Prime factorization of 76460 in exponential form is:

76460 = 2² × 5¹ × 3823¹

Step-3: Factors of 76448

List of positive integer factors of 76448 that divides 76448 without a remainder.

1, 2, 4, 8, 16, 32, 2389, 4778, 9556, 19112, 38224

Step-4: Factors of 76460

List of positive integer factors of 76460 that divides 76448 without a remainder.

1, 2, 4, 5, 10, 20, 3823, 7646, 15292, 19115, 38230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76448 and 76460. The biggest common factor number is the GCF number.
So the greatest common factor 76448 and 76460 is 4.

Also check out the Least Common Multiple of 76448 and 76460