What is the Greatest Common Factor of 92752 and 92768?

Greatest common factor (GCF) of 92752 and 92768 is 16.

GCF(92752,92768) = 16

We will now calculate the prime factors of 92752 and 92768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92752 and 92768.

How to find the GCF of 92752 and 92768?

We will first find the prime factorization of 92752 and 92768. After we will calculate the factors of 92752 and 92768 and find the biggest common factor number .

Step-1: Prime Factorization of 92752

Prime factors of 92752 are 2, 11, 17, 31. Prime factorization of 92752 in exponential form is:

92752 = 2⁴ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 92768

Prime factors of 92768 are 2, 13, 223. Prime factorization of 92768 in exponential form is:

92768 = 2⁵ × 13¹ × 223¹

Step-3: Factors of 92752

List of positive integer factors of 92752 that divides 92752 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 31, 34, 44, 62, 68, 88, 124, 136, 176, 187, 248, 272, 341, 374, 496, 527, 682, 748, 1054, 1364, 1496, 2108, 2728, 2992, 4216, 5456, 5797, 8432, 11594, 23188, 46376

Step-4: Factors of 92768

List of positive integer factors of 92768 that divides 92752 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 223, 416, 446, 892, 1784, 2899, 3568, 5798, 7136, 11596, 23192, 46384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92752 and 92768. The biggest common factor number is the GCF number.
So the greatest common factor 92752 and 92768 is 16.

Also check out the Least Common Multiple of 92752 and 92768