What is the Greatest Common Factor of 76380 and 76385?

Greatest common factor (GCF) of 76380 and 76385 is 5.

GCF(76380,76385) = 5

We will now calculate the prime factors of 76380 and 76385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76380 and 76385.

How to find the GCF of 76380 and 76385?

We will first find the prime factorization of 76380 and 76385. After we will calculate the factors of 76380 and 76385 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 76385

Prime factors of 76385 are 5, 15277. Prime factorization of 76385 in exponential form is:

76385 = 5¹ × 15277¹

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 76385

List of positive integer factors of 76385 that divides 76380 without a remainder.

1, 5, 15277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76380 and 76385. The biggest common factor number is the GCF number.
So the greatest common factor 76380 and 76385 is 5.

Also check out the Least Common Multiple of 76380 and 76385