What is the Greatest Common Factor of 75768 and 75785?

Greatest common factor (GCF) of 75768 and 75785 is 1.

GCF(75768,75785) = 1

We will now calculate the prime factors of 75768 and 75785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75768 and 75785.

How to find the GCF of 75768 and 75785?

We will first find the prime factorization of 75768 and 75785. After we will calculate the factors of 75768 and 75785 and find the biggest common factor number .

Step-1: Prime Factorization of 75768

Prime factors of 75768 are 2, 3, 7, 11, 41. Prime factorization of 75768 in exponential form is:

75768 = 2³ × 3¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 75785

Prime factors of 75785 are 5, 23, 659. Prime factorization of 75785 in exponential form is:

75785 = 5¹ × 23¹ × 659¹

Step-3: Factors of 75768

List of positive integer factors of 75768 that divides 75768 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 41, 42, 44, 56, 66, 77, 82, 84, 88, 123, 132, 154, 164, 168, 231, 246, 264, 287, 308, 328, 451, 462, 492, 574, 616, 861, 902, 924, 984, 1148, 1353, 1722, 1804, 1848, 2296, 2706, 3157, 3444, 3608, 5412, 6314, 6888, 9471, 10824, 12628, 18942, 25256, 37884

Step-4: Factors of 75785

List of positive integer factors of 75785 that divides 75768 without a remainder.

1, 5, 23, 115, 659, 3295, 15157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75768 and 75785. The biggest common factor number is the GCF number.
So the greatest common factor 75768 and 75785 is 1.

Also check out the Least Common Multiple of 75768 and 75785