What is the Greatest Common Factor of 28635 and 28644?

Greatest common factor (GCF) of 28635 and 28644 is 3.

GCF(28635,28644) = 3

We will now calculate the prime factors of 28635 and 28644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28635 and 28644.

How to find the GCF of 28635 and 28644?

We will first find the prime factorization of 28635 and 28644. After we will calculate the factors of 28635 and 28644 and find the biggest common factor number .

Step-1: Prime Factorization of 28635

Prime factors of 28635 are 3, 5, 23, 83. Prime factorization of 28635 in exponential form is:

28635 = 3¹ × 5¹ × 23¹ × 83¹

Step-2: 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-3: Factors of 28635

List of positive integer factors of 28635 that divides 28635 without a remainder.

1, 3, 5, 15, 23, 69, 83, 115, 249, 345, 415, 1245, 1909, 5727, 9545

Step-4: Factors of 28644

List of positive integer factors of 28644 that divides 28635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28635 and 28644. The biggest common factor number is the GCF number.
So the greatest common factor 28635 and 28644 is 3.

Also check out the Least Common Multiple of 28635 and 28644