What is the Greatest Common Factor of 28600 and 28611?

Greatest common factor (GCF) of 28600 and 28611 is 11.

GCF(28600,28611) = 11

We will now calculate the prime factors of 28600 and 28611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28600 and 28611.

How to find the GCF of 28600 and 28611?

We will first find the prime factorization of 28600 and 28611. After we will calculate the factors of 28600 and 28611 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28611

Prime factors of 28611 are 3, 11, 17. Prime factorization of 28611 in exponential form is:

28611 = 3² × 11¹ × 17²

Step-3: Factors of 28600

List of positive integer factors of 28600 that divides 28600 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

Step-4: Factors of 28611

List of positive integer factors of 28611 that divides 28600 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 289, 561, 867, 1683, 2601, 3179, 9537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28600 and 28611. The biggest common factor number is the GCF number.
So the greatest common factor 28600 and 28611 is 11.

Also check out the Least Common Multiple of 28600 and 28611