What is the Greatest Common Factor of 76544 and 76549?

Greatest common factor (GCF) of 76544 and 76549 is 1.

GCF(76544,76549) = 1

We will now calculate the prime factors of 76544 and 76549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76544 and 76549.

How to find the GCF of 76544 and 76549?

We will first find the prime factorization of 76544 and 76549. After we will calculate the factors of 76544 and 76549 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 76549

Prime factors of 76549 are 11, 6959. Prime factorization of 76549 in exponential form is:

76549 = 11¹ × 6959¹

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 76549

List of positive integer factors of 76549 that divides 76544 without a remainder.

1, 11, 6959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76544 and 76549. The biggest common factor number is the GCF number.
So the greatest common factor 76544 and 76549 is 1.

Also check out the Least Common Multiple of 76544 and 76549