What is the Greatest Common Factor of 28692 and 28710?

Greatest common factor (GCF) of 28692 and 28710 is 18.

GCF(28692,28710) = 18

We will now calculate the prime factors of 28692 and 28710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28692 and 28710.

How to find the GCF of 28692 and 28710?

We will first find the prime factorization of 28692 and 28710. After we will calculate the factors of 28692 and 28710 and find the biggest common factor number .

Step-1: Prime Factorization of 28692

Prime factors of 28692 are 2, 3, 797. Prime factorization of 28692 in exponential form is:

28692 = 2² × 3² × 797¹

Step-2: Prime Factorization of 28710

Prime factors of 28710 are 2, 3, 5, 11, 29. Prime factorization of 28710 in exponential form is:

28710 = 2¹ × 3² × 5¹ × 11¹ × 29¹

Step-3: Factors of 28692

List of positive integer factors of 28692 that divides 28692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 797, 1594, 2391, 3188, 4782, 7173, 9564, 14346

Step-4: Factors of 28710

List of positive integer factors of 28710 that divides 28692 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 29, 30, 33, 45, 55, 58, 66, 87, 90, 99, 110, 145, 165, 174, 198, 261, 290, 319, 330, 435, 495, 522, 638, 870, 957, 990, 1305, 1595, 1914, 2610, 2871, 3190, 4785, 5742, 9570, 14355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28692 and 28710. The biggest common factor number is the GCF number.
So the greatest common factor 28692 and 28710 is 18.

Also check out the Least Common Multiple of 28692 and 28710