What is the Greatest Common Factor of 27825 and 27835?

Greatest common factor (GCF) of 27825 and 27835 is 5.

GCF(27825,27835) = 5

We will now calculate the prime factors of 27825 and 27835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27825 and 27835.

How to find the GCF of 27825 and 27835?

We will first find the prime factorization of 27825 and 27835. After we will calculate the factors of 27825 and 27835 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 27835

Prime factors of 27835 are 5, 19, 293. Prime factorization of 27835 in exponential form is:

27835 = 5¹ × 19¹ × 293¹

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 27835

List of positive integer factors of 27835 that divides 27825 without a remainder.

1, 5, 19, 95, 293, 1465, 5567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27825 and 27835. The biggest common factor number is the GCF number.
So the greatest common factor 27825 and 27835 is 5.

Also check out the Least Common Multiple of 27825 and 27835