What is the Greatest Common Factor of 27902 and 27909?

Greatest common factor (GCF) of 27902 and 27909 is 7.

GCF(27902,27909) = 7

We will now calculate the prime factors of 27902 and 27909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27902 and 27909.

How to find the GCF of 27902 and 27909?

We will first find the prime factorization of 27902 and 27909. After we will calculate the factors of 27902 and 27909 and find the biggest common factor number .

Step-1: Prime Factorization of 27902

Prime factors of 27902 are 2, 7, 1993. Prime factorization of 27902 in exponential form is:

27902 = 2¹ × 7¹ × 1993¹

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 27902

List of positive integer factors of 27902 that divides 27902 without a remainder.

1, 2, 7, 14, 1993, 3986, 13951

Step-4: Factors of 27909

List of positive integer factors of 27909 that divides 27902 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 27902 and 27909. The biggest common factor number is the GCF number.
So the greatest common factor 27902 and 27909 is 7.

Also check out the Least Common Multiple of 27902 and 27909