What is the Greatest Common Factor of 76735 and 76752?

Greatest common factor (GCF) of 76735 and 76752 is 1.

GCF(76735,76752) = 1

We will now calculate the prime factors of 76735 and 76752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76735 and 76752.

How to find the GCF of 76735 and 76752?

We will first find the prime factorization of 76735 and 76752. After we will calculate the factors of 76735 and 76752 and find the biggest common factor number .

Step-1: Prime Factorization of 76735

Prime factors of 76735 are 5, 103, 149. Prime factorization of 76735 in exponential form is:

76735 = 5¹ × 103¹ × 149¹

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 76735

List of positive integer factors of 76735 that divides 76735 without a remainder.

1, 5, 103, 149, 515, 745, 15347

Step-4: Factors of 76752

List of positive integer factors of 76752 that divides 76735 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 76735 and 76752. The biggest common factor number is the GCF number.
So the greatest common factor 76735 and 76752 is 1.

Also check out the Least Common Multiple of 76735 and 76752