What is the Greatest Common Factor of 27895 and 27909?

Greatest common factor (GCF) of 27895 and 27909 is 7.

GCF(27895,27909) = 7

We will now calculate the prime factors of 27895 and 27909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27895 and 27909.

How to find the GCF of 27895 and 27909?

We will first find the prime factorization of 27895 and 27909. After we will calculate the factors of 27895 and 27909 and find the biggest common factor number .

Step-1: Prime Factorization of 27895

Prime factors of 27895 are 5, 7, 797. Prime factorization of 27895 in exponential form is:

27895 = 5¹ × 7¹ × 797¹

Step-2: Prime Factorization of 27909

Prime factors of 27909 are 3, 7, 443. Prime factorization of 27909 in exponential form is:

27909 = 3² × 7¹ × 443¹

Step-3: Factors of 27895

List of positive integer factors of 27895 that divides 27895 without a remainder.

1, 5, 7, 35, 797, 3985, 5579

Step-4: Factors of 27909

List of positive integer factors of 27909 that divides 27895 without a remainder.

1, 3, 7, 9, 21, 63, 443, 1329, 3101, 3987, 9303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27895 and 27909. The biggest common factor number is the GCF number.
So the greatest common factor 27895 and 27909 is 7.

Also check out the Least Common Multiple of 27895 and 27909