What is the Greatest Common Factor of 28769 and 28776?

Greatest common factor (GCF) of 28769 and 28776 is 1.

GCF(28769,28776) = 1

We will now calculate the prime factors of 28769 and 28776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28769 and 28776.

How to find the GCF of 28769 and 28776?

We will first find the prime factorization of 28769 and 28776. After we will calculate the factors of 28769 and 28776 and find the biggest common factor number .

Step-1: Prime Factorization of 28769

Prime factors of 28769 are 13, 2213. Prime factorization of 28769 in exponential form is:

28769 = 13¹ × 2213¹

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 28769

List of positive integer factors of 28769 that divides 28769 without a remainder.

1, 13, 2213

Step-4: Factors of 28776

List of positive integer factors of 28776 that divides 28769 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 28769 and 28776. The biggest common factor number is the GCF number.
So the greatest common factor 28769 and 28776 is 1.

Also check out the Least Common Multiple of 28769 and 28776