What is the Greatest Common Factor of 76380 and 76389?

Greatest common factor (GCF) of 76380 and 76389 is 3.

GCF(76380,76389) = 3

We will now calculate the prime factors of 76380 and 76389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76380 and 76389.

How to find the GCF of 76380 and 76389?

We will first find the prime factorization of 76380 and 76389. After we will calculate the factors of 76380 and 76389 and find the biggest common factor number .

Step-1: Prime Factorization of 76380

Prime factors of 76380 are 2, 3, 5, 19, 67. Prime factorization of 76380 in exponential form is:

76380 = 2² × 3¹ × 5¹ × 19¹ × 67¹

Step-2: Prime Factorization of 76389

Prime factors of 76389 are 3, 25463. Prime factorization of 76389 in exponential form is:

76389 = 3¹ × 25463¹

Step-3: Factors of 76380

List of positive integer factors of 76380 that divides 76380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 67, 76, 95, 114, 134, 190, 201, 228, 268, 285, 335, 380, 402, 570, 670, 804, 1005, 1140, 1273, 1340, 2010, 2546, 3819, 4020, 5092, 6365, 7638, 12730, 15276, 19095, 25460, 38190

Step-4: Factors of 76389

List of positive integer factors of 76389 that divides 76380 without a remainder.

1, 3, 25463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76380 and 76389. The biggest common factor number is the GCF number.
So the greatest common factor 76380 and 76389 is 3.

Also check out the Least Common Multiple of 76380 and 76389