What is the Greatest Common Factor of 92768 and 92772?

Greatest common factor (GCF) of 92768 and 92772 is 4.

GCF(92768,92772) = 4

We will now calculate the prime factors of 92768 and 92772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92768 and 92772.

How to find the GCF of 92768 and 92772?

We will first find the prime factorization of 92768 and 92772. After we will calculate the factors of 92768 and 92772 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92772

Prime factors of 92772 are 2, 3, 859. Prime factorization of 92772 in exponential form is:

92772 = 2² × 3³ × 859¹

Step-3: Factors of 92768

List of positive integer factors of 92768 that divides 92768 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

Step-4: Factors of 92772

List of positive integer factors of 92772 that divides 92768 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 859, 1718, 2577, 3436, 5154, 7731, 10308, 15462, 23193, 30924, 46386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92768 and 92772. The biggest common factor number is the GCF number.
So the greatest common factor 92768 and 92772 is 4.

Also check out the Least Common Multiple of 92768 and 92772