What is the Greatest Common Factor of 27825 and 27829?

Greatest common factor (GCF) of 27825 and 27829 is 1.

GCF(27825,27829) = 1

We will now calculate the prime factors of 27825 and 27829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27825 and 27829.

How to find the GCF of 27825 and 27829?

We will first find the prime factorization of 27825 and 27829. After we will calculate the factors of 27825 and 27829 and find the biggest common factor number .

Step-1: Prime Factorization of 27825

Prime factors of 27825 are 3, 5, 7, 53. Prime factorization of 27825 in exponential form is:

27825 = 3¹ × 5² × 7¹ × 53¹

Step-2: Prime Factorization of 27829

Prime factors of 27829 are 17, 1637. Prime factorization of 27829 in exponential form is:

27829 = 17¹ × 1637¹

Step-3: Factors of 27825

List of positive integer factors of 27825 that divides 27825 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 53, 75, 105, 159, 175, 265, 371, 525, 795, 1113, 1325, 1855, 3975, 5565, 9275

Step-4: Factors of 27829

List of positive integer factors of 27829 that divides 27825 without a remainder.

1, 17, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27825 and 27829. The biggest common factor number is the GCF number.
So the greatest common factor 27825 and 27829 is 1.

Also check out the Least Common Multiple of 27825 and 27829