What is the Greatest Common Factor of 28600 and 28609?

Greatest common factor (GCF) of 28600 and 28609 is 1.

GCF(28600,28609) = 1

We will now calculate the prime factors of 28600 and 28609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28600 and 28609.

How to find the GCF of 28600 and 28609?

We will first find the prime factorization of 28600 and 28609. After we will calculate the factors of 28600 and 28609 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 28609

Prime factors of 28609 are 7, 61, 67. Prime factorization of 28609 in exponential form is:

28609 = 7¹ × 61¹ × 67¹

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 28609

List of positive integer factors of 28609 that divides 28600 without a remainder.

1, 7, 61, 67, 427, 469, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28600 and 28609. The biggest common factor number is the GCF number.
So the greatest common factor 28600 and 28609 is 1.

Also check out the Least Common Multiple of 28600 and 28609