What is the Greatest Common Factor of 76752 and 76766?

Greatest common factor (GCF) of 76752 and 76766 is 2.

GCF(76752,76766) = 2

We will now calculate the prime factors of 76752 and 76766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76752 and 76766.

How to find the GCF of 76752 and 76766?

We will first find the prime factorization of 76752 and 76766. After we will calculate the factors of 76752 and 76766 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 76766

Prime factors of 76766 are 2, 131, 293. Prime factorization of 76766 in exponential form is:

76766 = 2¹ × 131¹ × 293¹

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 76766

List of positive integer factors of 76766 that divides 76752 without a remainder.

1, 2, 131, 262, 293, 586, 38383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76752 and 76766. The biggest common factor number is the GCF number.
So the greatest common factor 76752 and 76766 is 2.

Also check out the Least Common Multiple of 76752 and 76766