What is the Greatest Common Factor of 76380 and 76384?

Greatest common factor (GCF) of 76380 and 76384 is 4.

GCF(76380,76384) = 4

We will now calculate the prime factors of 76380 and 76384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76380 and 76384.

How to find the GCF of 76380 and 76384?

We will first find the prime factorization of 76380 and 76384. After we will calculate the factors of 76380 and 76384 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 76384

Prime factors of 76384 are 2, 7, 11, 31. Prime factorization of 76384 in exponential form is:

76384 = 2⁵ × 7¹ × 11¹ × 31¹

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 76384

List of positive integer factors of 76384 that divides 76380 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 31, 32, 44, 56, 62, 77, 88, 112, 124, 154, 176, 217, 224, 248, 308, 341, 352, 434, 496, 616, 682, 868, 992, 1232, 1364, 1736, 2387, 2464, 2728, 3472, 4774, 5456, 6944, 9548, 10912, 19096, 38192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76380 and 76384. The biggest common factor number is the GCF number.
So the greatest common factor 76380 and 76384 is 4.

Also check out the Least Common Multiple of 76380 and 76384