What is the Greatest Common Factor of 28644 and 28655?

Greatest common factor (GCF) of 28644 and 28655 is 11.

GCF(28644,28655) = 11

We will now calculate the prime factors of 28644 and 28655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28644 and 28655.

How to find the GCF of 28644 and 28655?

We will first find the prime factorization of 28644 and 28655. After we will calculate the factors of 28644 and 28655 and find the biggest common factor number .

Step-1: Prime Factorization of 28644

Prime factors of 28644 are 2, 3, 7, 11, 31. Prime factorization of 28644 in exponential form is:

28644 = 2² × 3¹ × 7¹ × 11¹ × 31¹

Step-2: 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-3: Factors of 28644

List of positive integer factors of 28644 that divides 28644 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 31, 33, 42, 44, 62, 66, 77, 84, 93, 124, 132, 154, 186, 217, 231, 308, 341, 372, 434, 462, 651, 682, 868, 924, 1023, 1302, 1364, 2046, 2387, 2604, 4092, 4774, 7161, 9548, 14322

Step-4: Factors of 28655

List of positive integer factors of 28655 that divides 28644 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28644 and 28655. The biggest common factor number is the GCF number.
So the greatest common factor 28644 and 28655 is 11.

Also check out the Least Common Multiple of 28644 and 28655