What is the Greatest Common Factor of 28768 and 28776?

Greatest common factor (GCF) of 28768 and 28776 is 8.

GCF(28768,28776) = 8

We will now calculate the prime factors of 28768 and 28776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28768 and 28776.

How to find the GCF of 28768 and 28776?

We will first find the prime factorization of 28768 and 28776. After we will calculate the factors of 28768 and 28776 and find the biggest common factor number .

Step-1: Prime Factorization of 28768

Prime factors of 28768 are 2, 29, 31. Prime factorization of 28768 in exponential form is:

28768 = 2⁵ × 29¹ × 31¹

Step-2: Prime Factorization of 28776

Prime factors of 28776 are 2, 3, 11, 109. Prime factorization of 28776 in exponential form is:

28776 = 2³ × 3¹ × 11¹ × 109¹

Step-3: Factors of 28768

List of positive integer factors of 28768 that divides 28768 without a remainder.

1, 2, 4, 8, 16, 29, 31, 32, 58, 62, 116, 124, 232, 248, 464, 496, 899, 928, 992, 1798, 3596, 7192, 14384

Step-4: Factors of 28776

List of positive integer factors of 28776 that divides 28768 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 109, 132, 218, 264, 327, 436, 654, 872, 1199, 1308, 2398, 2616, 3597, 4796, 7194, 9592, 14388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28768 and 28776. The biggest common factor number is the GCF number.
So the greatest common factor 28768 and 28776 is 8.

Also check out the Least Common Multiple of 28768 and 28776