What is the Greatest Common Factor of 86757 and 86768?

Greatest common factor (GCF) of 86757 and 86768 is 11.

GCF(86757,86768) = 11

We will now calculate the prime factors of 86757 and 86768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86757 and 86768.

How to find the GCF of 86757 and 86768?

We will first find the prime factorization of 86757 and 86768. After we will calculate the factors of 86757 and 86768 and find the biggest common factor number .

Step-1: Prime Factorization of 86757

Prime factors of 86757 are 3, 11, 239. Prime factorization of 86757 in exponential form is:

86757 = 3¹ × 11² × 239¹

Step-2: Prime Factorization of 86768

Prime factors of 86768 are 2, 11, 17, 29. Prime factorization of 86768 in exponential form is:

86768 = 2⁴ × 11¹ × 17¹ × 29¹

Step-3: Factors of 86757

List of positive integer factors of 86757 that divides 86757 without a remainder.

1, 3, 11, 33, 121, 239, 363, 717, 2629, 7887, 28919

Step-4: Factors of 86768

List of positive integer factors of 86768 that divides 86757 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 29, 34, 44, 58, 68, 88, 116, 136, 176, 187, 232, 272, 319, 374, 464, 493, 638, 748, 986, 1276, 1496, 1972, 2552, 2992, 3944, 5104, 5423, 7888, 10846, 21692, 43384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86757 and 86768. The biggest common factor number is the GCF number.
So the greatest common factor 86757 and 86768 is 11.

Also check out the Least Common Multiple of 86757 and 86768