What is the Greatest Common Factor of 76752 and 76764?

Greatest common factor (GCF) of 76752 and 76764 is 12.

GCF(76752,76764) = 12

We will now calculate the prime factors of 76752 and 76764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76752 and 76764.

How to find the GCF of 76752 and 76764?

We will first find the prime factorization of 76752 and 76764. After we will calculate the factors of 76752 and 76764 and find the biggest common factor number .

Step-1: Prime Factorization of 76752

Prime factors of 76752 are 2, 3, 13, 41. Prime factorization of 76752 in exponential form is:

76752 = 2⁴ × 3² × 13¹ × 41¹

Step-2: Prime Factorization of 76764

Prime factors of 76764 are 2, 3, 6397. Prime factorization of 76764 in exponential form is:

76764 = 2² × 3¹ × 6397¹

Step-3: Factors of 76752

List of positive integer factors of 76752 that divides 76752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 41, 48, 52, 72, 78, 82, 104, 117, 123, 144, 156, 164, 208, 234, 246, 312, 328, 369, 468, 492, 533, 624, 656, 738, 936, 984, 1066, 1476, 1599, 1872, 1968, 2132, 2952, 3198, 4264, 4797, 5904, 6396, 8528, 9594, 12792, 19188, 25584, 38376

Step-4: Factors of 76764

List of positive integer factors of 76764 that divides 76752 without a remainder.

1, 2, 3, 4, 6, 12, 6397, 12794, 19191, 25588, 38382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76752 and 76764. The biggest common factor number is the GCF number.
So the greatest common factor 76752 and 76764 is 12.

Also check out the Least Common Multiple of 76752 and 76764