What is the Greatest Common Factor of 76444 and 76448?

Greatest common factor (GCF) of 76444 and 76448 is 4.

GCF(76444,76448) = 4

We will now calculate the prime factors of 76444 and 76448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76444 and 76448.

How to find the GCF of 76444 and 76448?

We will first find the prime factorization of 76444 and 76448. After we will calculate the factors of 76444 and 76448 and find the biggest common factor number .

Step-1: Prime Factorization of 76444

Prime factors of 76444 are 2, 29, 659. Prime factorization of 76444 in exponential form is:

76444 = 2² × 29¹ × 659¹

Step-2: Prime Factorization of 76448

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

76448 = 2⁵ × 2389¹

Step-3: Factors of 76444

List of positive integer factors of 76444 that divides 76444 without a remainder.

1, 2, 4, 29, 58, 116, 659, 1318, 2636, 19111, 38222

Step-4: Factors of 76448

List of positive integer factors of 76448 that divides 76444 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76444 and 76448. The biggest common factor number is the GCF number.
So the greatest common factor 76444 and 76448 is 4.

Also check out the Least Common Multiple of 76444 and 76448