What is the Greatest Common Factor of 27810 and 27828?

Greatest common factor (GCF) of 27810 and 27828 is 18.

GCF(27810,27828) = 18

We will now calculate the prime factors of 27810 and 27828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27810 and 27828.

How to find the GCF of 27810 and 27828?

We will first find the prime factorization of 27810 and 27828. After we will calculate the factors of 27810 and 27828 and find the biggest common factor number .

Step-1: Prime Factorization of 27810

Prime factors of 27810 are 2, 3, 5, 103. Prime factorization of 27810 in exponential form is:

27810 = 2¹ × 3³ × 5¹ × 103¹

Step-2: Prime Factorization of 27828

Prime factors of 27828 are 2, 3, 773. Prime factorization of 27828 in exponential form is:

27828 = 2² × 3² × 773¹

Step-3: Factors of 27810

List of positive integer factors of 27810 that divides 27810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 103, 135, 206, 270, 309, 515, 618, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 9270, 13905

Step-4: Factors of 27828

List of positive integer factors of 27828 that divides 27810 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27810 and 27828. The biggest common factor number is the GCF number.
So the greatest common factor 27810 and 27828 is 18.

Also check out the Least Common Multiple of 27810 and 27828