What is the Greatest Common Factor of 76370 and 76384?

Greatest common factor (GCF) of 76370 and 76384 is 14.

GCF(76370,76384) = 14

We will now calculate the prime factors of 76370 and 76384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76370 and 76384.

How to find the GCF of 76370 and 76384?

We will first find the prime factorization of 76370 and 76384. After we will calculate the factors of 76370 and 76384 and find the biggest common factor number .

Step-1: Prime Factorization of 76370

Prime factors of 76370 are 2, 5, 7, 1091. Prime factorization of 76370 in exponential form is:

76370 = 2¹ × 5¹ × 7¹ × 1091¹

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 76370

List of positive integer factors of 76370 that divides 76370 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1091, 2182, 5455, 7637, 10910, 15274, 38185

Step-4: Factors of 76384

List of positive integer factors of 76384 that divides 76370 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 76370 and 76384. The biggest common factor number is the GCF number.
So the greatest common factor 76370 and 76384 is 14.

Also check out the Least Common Multiple of 76370 and 76384