What is the Greatest Common Factor of 76380 and 76397?

Greatest common factor (GCF) of 76380 and 76397 is 1.

GCF(76380,76397) = 1

We will now calculate the prime factors of 76380 and 76397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76380 and 76397.

How to find the GCF of 76380 and 76397?

We will first find the prime factorization of 76380 and 76397. After we will calculate the factors of 76380 and 76397 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 76397

Prime factors of 76397 are 241, 317. Prime factorization of 76397 in exponential form is:

76397 = 241¹ × 317¹

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 76397

List of positive integer factors of 76397 that divides 76380 without a remainder.

1, 241, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76380 and 76397. The biggest common factor number is the GCF number.
So the greatest common factor 76380 and 76397 is 1.

Also check out the Least Common Multiple of 76380 and 76397