What is the Greatest Common Factor of 76739 and 76752?

Greatest common factor (GCF) of 76739 and 76752 is 13.

GCF(76739,76752) = 13

We will now calculate the prime factors of 76739 and 76752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76739 and 76752.

How to find the GCF of 76739 and 76752?

We will first find the prime factorization of 76739 and 76752. After we will calculate the factors of 76739 and 76752 and find the biggest common factor number .

Step-1: Prime Factorization of 76739

Prime factors of 76739 are 13, 5903. Prime factorization of 76739 in exponential form is:

76739 = 13¹ × 5903¹

Step-2: 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-3: Factors of 76739

List of positive integer factors of 76739 that divides 76739 without a remainder.

1, 13, 5903

Step-4: Factors of 76752

List of positive integer factors of 76752 that divides 76739 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76739 and 76752. The biggest common factor number is the GCF number.
So the greatest common factor 76739 and 76752 is 13.

Also check out the Least Common Multiple of 76739 and 76752