What is the Greatest Common Factor of 28644 and 28654?

Greatest common factor (GCF) of 28644 and 28654 is 2.

GCF(28644,28654) = 2

We will now calculate the prime factors of 28644 and 28654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28644 and 28654.

How to find the GCF of 28644 and 28654?

We will first find the prime factorization of 28644 and 28654. After we will calculate the factors of 28644 and 28654 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 28654

Prime factors of 28654 are 2, 14327. Prime factorization of 28654 in exponential form is:

28654 = 2¹ × 14327¹

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 28654

List of positive integer factors of 28654 that divides 28644 without a remainder.

1, 2, 14327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28644 and 28654. The biggest common factor number is the GCF number.
So the greatest common factor 28644 and 28654 is 2.

Also check out the Least Common Multiple of 28644 and 28654