What is the Greatest Common Factor of 28762 and 28768?

Greatest common factor (GCF) of 28762 and 28768 is 2.

GCF(28762,28768) = 2

We will now calculate the prime factors of 28762 and 28768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28762 and 28768.

How to find the GCF of 28762 and 28768?

We will first find the prime factorization of 28762 and 28768. After we will calculate the factors of 28762 and 28768 and find the biggest common factor number .

Step-1: Prime Factorization of 28762

Prime factors of 28762 are 2, 73, 197. Prime factorization of 28762 in exponential form is:

28762 = 2¹ × 73¹ × 197¹

Step-2: 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-3: Factors of 28762

List of positive integer factors of 28762 that divides 28762 without a remainder.

1, 2, 73, 146, 197, 394, 14381

Step-4: Factors of 28768

List of positive integer factors of 28768 that divides 28762 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28762 and 28768. The biggest common factor number is the GCF number.
So the greatest common factor 28762 and 28768 is 2.

Also check out the Least Common Multiple of 28762 and 28768