What is the Greatest Common Factor of 27825 and 27842?

Greatest common factor (GCF) of 27825 and 27842 is 1.

GCF(27825,27842) = 1

We will now calculate the prime factors of 27825 and 27842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27825 and 27842.

How to find the GCF of 27825 and 27842?

We will first find the prime factorization of 27825 and 27842. After we will calculate the factors of 27825 and 27842 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 27842

Prime factors of 27842 are 2, 13921. Prime factorization of 27842 in exponential form is:

27842 = 2¹ × 13921¹

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 27842

List of positive integer factors of 27842 that divides 27825 without a remainder.

1, 2, 13921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27825 and 27842. The biggest common factor number is the GCF number.
So the greatest common factor 27825 and 27842 is 1.

Also check out the Least Common Multiple of 27825 and 27842