What is the Greatest Common Factor of 86752 and 86768?

Greatest common factor (GCF) of 86752 and 86768 is 16.

GCF(86752,86768) = 16

We will now calculate the prime factors of 86752 and 86768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86752 and 86768.

How to find the GCF of 86752 and 86768?

We will first find the prime factorization of 86752 and 86768. After we will calculate the factors of 86752 and 86768 and find the biggest common factor number .

Step-1: Prime Factorization of 86752

Prime factors of 86752 are 2, 2711. Prime factorization of 86752 in exponential form is:

86752 = 2⁵ × 2711¹

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 86752

List of positive integer factors of 86752 that divides 86752 without a remainder.

1, 2, 4, 8, 16, 32, 2711, 5422, 10844, 21688, 43376

Step-4: Factors of 86768

List of positive integer factors of 86768 that divides 86752 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 86752 and 86768. The biggest common factor number is the GCF number.
So the greatest common factor 86752 and 86768 is 16.

Also check out the Least Common Multiple of 86752 and 86768