What is the Greatest Common Factor of 76752 and 76765?

Greatest common factor (GCF) of 76752 and 76765 is 13.

GCF(76752,76765) = 13

We will now calculate the prime factors of 76752 and 76765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76752 and 76765.

How to find the GCF of 76752 and 76765?

We will first find the prime factorization of 76752 and 76765. After we will calculate the factors of 76752 and 76765 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 76765

Prime factors of 76765 are 5, 13, 1181. Prime factorization of 76765 in exponential form is:

76765 = 5¹ × 13¹ × 1181¹

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 76765

List of positive integer factors of 76765 that divides 76752 without a remainder.

1, 5, 13, 65, 1181, 5905, 15353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76752 and 76765. The biggest common factor number is the GCF number.
So the greatest common factor 76752 and 76765 is 13.

Also check out the Least Common Multiple of 76752 and 76765