What is the Greatest Common Factor of 76532 and 76544?

Greatest common factor (GCF) of 76532 and 76544 is 4.

GCF(76532,76544) = 4

We will now calculate the prime factors of 76532 and 76544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76532 and 76544.

How to find the GCF of 76532 and 76544?

We will first find the prime factorization of 76532 and 76544. After we will calculate the factors of 76532 and 76544 and find the biggest common factor number .

Step-1: Prime Factorization of 76532

Prime factors of 76532 are 2, 19, 53. Prime factorization of 76532 in exponential form is:

76532 = 2² × 19² × 53¹

Step-2: 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-3: Factors of 76532

List of positive integer factors of 76532 that divides 76532 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 361, 722, 1007, 1444, 2014, 4028, 19133, 38266

Step-4: Factors of 76544

List of positive integer factors of 76544 that divides 76532 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76532 and 76544. The biggest common factor number is the GCF number.
So the greatest common factor 76532 and 76544 is 4.

Also check out the Least Common Multiple of 76532 and 76544