What is the Greatest Common Factor of 75757 and 75768?

Greatest common factor (GCF) of 75757 and 75768 is 11.

GCF(75757,75768) = 11

We will now calculate the prime factors of 75757 and 75768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75757 and 75768.

How to find the GCF of 75757 and 75768?

We will first find the prime factorization of 75757 and 75768. After we will calculate the factors of 75757 and 75768 and find the biggest common factor number .

Step-1: Prime Factorization of 75757

Prime factors of 75757 are 11, 71, 97. Prime factorization of 75757 in exponential form is:

75757 = 11¹ × 71¹ × 97¹

Step-2: 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-3: Factors of 75757

List of positive integer factors of 75757 that divides 75757 without a remainder.

1, 11, 71, 97, 781, 1067, 6887

Step-4: Factors of 75768

List of positive integer factors of 75768 that divides 75757 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75757 and 75768. The biggest common factor number is the GCF number.
So the greatest common factor 75757 and 75768 is 11.

Also check out the Least Common Multiple of 75757 and 75768