What is the Greatest Common Factor of 76448 and 76458?

Greatest common factor (GCF) of 76448 and 76458 is 2.

GCF(76448,76458) = 2

We will now calculate the prime factors of 76448 and 76458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76448 and 76458.

How to find the GCF of 76448 and 76458?

We will first find the prime factorization of 76448 and 76458. After we will calculate the factors of 76448 and 76458 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 76458

Prime factors of 76458 are 2, 3, 12743. Prime factorization of 76458 in exponential form is:

76458 = 2¹ × 3¹ × 12743¹

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 76458

List of positive integer factors of 76458 that divides 76448 without a remainder.

1, 2, 3, 6, 12743, 25486, 38229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76448 and 76458. The biggest common factor number is the GCF number.
So the greatest common factor 76448 and 76458 is 2.

Also check out the Least Common Multiple of 76448 and 76458