What is the Greatest Common Factor of 27811 and 27825?

Greatest common factor (GCF) of 27811 and 27825 is 7.

GCF(27811,27825) = 7

We will now calculate the prime factors of 27811 and 27825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27811 and 27825.

How to find the GCF of 27811 and 27825?

We will first find the prime factorization of 27811 and 27825. After we will calculate the factors of 27811 and 27825 and find the biggest common factor number .

Step-1: Prime Factorization of 27811

Prime factors of 27811 are 7, 29, 137. Prime factorization of 27811 in exponential form is:

27811 = 7¹ × 29¹ × 137¹

Step-2: 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-3: Factors of 27811

List of positive integer factors of 27811 that divides 27811 without a remainder.

1, 7, 29, 137, 203, 959, 3973

Step-4: Factors of 27825

List of positive integer factors of 27825 that divides 27811 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27811 and 27825. The biggest common factor number is the GCF number.
So the greatest common factor 27811 and 27825 is 7.

Also check out the Least Common Multiple of 27811 and 27825