What is the Greatest Common Factor of 28589 and 28600?

Greatest common factor (GCF) of 28589 and 28600 is 11.

GCF(28589,28600) = 11

We will now calculate the prime factors of 28589 and 28600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28589 and 28600.

How to find the GCF of 28589 and 28600?

We will first find the prime factorization of 28589 and 28600. After we will calculate the factors of 28589 and 28600 and find the biggest common factor number .

Step-1: Prime Factorization of 28589

Prime factors of 28589 are 11, 23, 113. Prime factorization of 28589 in exponential form is:

28589 = 11¹ × 23¹ × 113¹

Step-2: Prime Factorization of 28600

Prime factors of 28600 are 2, 5, 11, 13. Prime factorization of 28600 in exponential form is:

28600 = 2³ × 5² × 11¹ × 13¹

Step-3: Factors of 28589

List of positive integer factors of 28589 that divides 28589 without a remainder.

1, 11, 23, 113, 253, 1243, 2599

Step-4: Factors of 28600

List of positive integer factors of 28600 that divides 28589 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 25, 26, 40, 44, 50, 52, 55, 65, 88, 100, 104, 110, 130, 143, 200, 220, 260, 275, 286, 325, 440, 520, 550, 572, 650, 715, 1100, 1144, 1300, 1430, 2200, 2600, 2860, 3575, 5720, 7150, 14300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28589 and 28600. The biggest common factor number is the GCF number.
So the greatest common factor 28589 and 28600 is 11.

Also check out the Least Common Multiple of 28589 and 28600