What is the Greatest Common Factor of 76380 and 76393?

Greatest common factor (GCF) of 76380 and 76393 is 1.

GCF(76380,76393) = 1

We will now calculate the prime factors of 76380 and 76393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76380 and 76393.

How to find the GCF of 76380 and 76393?

We will first find the prime factorization of 76380 and 76393. After we will calculate the factors of 76380 and 76393 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 76393

Prime factors of 76393 are 79, 967. Prime factorization of 76393 in exponential form is:

76393 = 79¹ × 967¹

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 76393

List of positive integer factors of 76393 that divides 76380 without a remainder.

1, 79, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76380 and 76393. The biggest common factor number is the GCF number.
So the greatest common factor 76380 and 76393 is 1.

Also check out the Least Common Multiple of 76380 and 76393