What is the Greatest Common Factor of 76544 and 76550?

Greatest common factor (GCF) of 76544 and 76550 is 2.

GCF(76544,76550) = 2

We will now calculate the prime factors of 76544 and 76550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76544 and 76550.

How to find the GCF of 76544 and 76550?

We will first find the prime factorization of 76544 and 76550. After we will calculate the factors of 76544 and 76550 and find the biggest common factor number .

Step-1: Prime Factorization of 76544

Prime factors of 76544 are 2, 13, 23. Prime factorization of 76544 in exponential form is:

76544 = 2⁸ × 13¹ × 23¹

Step-2: Prime Factorization of 76550

Prime factors of 76550 are 2, 5, 1531. Prime factorization of 76550 in exponential form is:

76550 = 2¹ × 5² × 1531¹

Step-3: Factors of 76544

List of positive integer factors of 76544 that divides 76544 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 64, 92, 104, 128, 184, 208, 256, 299, 368, 416, 598, 736, 832, 1196, 1472, 1664, 2392, 2944, 3328, 4784, 5888, 9568, 19136, 38272

Step-4: Factors of 76550

List of positive integer factors of 76550 that divides 76544 without a remainder.

1, 2, 5, 10, 25, 50, 1531, 3062, 7655, 15310, 38275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76544 and 76550. The biggest common factor number is the GCF number.
So the greatest common factor 76544 and 76550 is 2.

Also check out the Least Common Multiple of 76544 and 76550