What is the Greatest Common Factor of 28600 and 28610?

Greatest common factor (GCF) of 28600 and 28610 is 10.

GCF(28600,28610) = 10

We will now calculate the prime factors of 28600 and 28610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28600 and 28610.

How to find the GCF of 28600 and 28610?

We will first find the prime factorization of 28600 and 28610. After we will calculate the factors of 28600 and 28610 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 28610

Prime factors of 28610 are 2, 5, 2861. Prime factorization of 28610 in exponential form is:

28610 = 2¹ × 5¹ × 2861¹

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 28610

List of positive integer factors of 28610 that divides 28600 without a remainder.

1, 2, 5, 10, 2861, 5722, 14305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28600 and 28610. The biggest common factor number is the GCF number.
So the greatest common factor 28600 and 28610 is 10.

Also check out the Least Common Multiple of 28600 and 28610