What is the Greatest Common Factor of 28655 and 28666?

Greatest common factor (GCF) of 28655 and 28666 is 11.

GCF(28655,28666) = 11

We will now calculate the prime factors of 28655 and 28666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28655 and 28666.

How to find the GCF of 28655 and 28666?

We will first find the prime factorization of 28655 and 28666. After we will calculate the factors of 28655 and 28666 and find the biggest common factor number .

Step-1: Prime Factorization of 28655

Prime factors of 28655 are 5, 11, 521. Prime factorization of 28655 in exponential form is:

28655 = 5¹ × 11¹ × 521¹

Step-2: Prime Factorization of 28666

Prime factors of 28666 are 2, 11, 1303. Prime factorization of 28666 in exponential form is:

28666 = 2¹ × 11¹ × 1303¹

Step-3: Factors of 28655

List of positive integer factors of 28655 that divides 28655 without a remainder.

1, 5, 11, 55, 521, 2605, 5731

Step-4: Factors of 28666

List of positive integer factors of 28666 that divides 28655 without a remainder.

1, 2, 11, 22, 1303, 2606, 14333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28655 and 28666. The biggest common factor number is the GCF number.
So the greatest common factor 28655 and 28666 is 11.

Also check out the Least Common Multiple of 28655 and 28666