What is the Greatest Common Factor of 55902 and 55909?

Greatest common factor (GCF) of 55902 and 55909 is 7.

GCF(55902,55909) = 7

We will now calculate the prime factors of 55902 and 55909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55902 and 55909.

How to find the GCF of 55902 and 55909?

We will first find the prime factorization of 55902 and 55909. After we will calculate the factors of 55902 and 55909 and find the biggest common factor number .

Step-1: Prime Factorization of 55902

Prime factors of 55902 are 2, 3, 7, 11. Prime factorization of 55902 in exponential form is:

55902 = 2¹ × 3¹ × 7¹ × 11³

Step-2: Prime Factorization of 55909

Prime factors of 55909 are 7, 163. Prime factorization of 55909 in exponential form is:

55909 = 7³ × 163¹

Step-3: Factors of 55902

List of positive integer factors of 55902 that divides 55902 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1331, 1694, 2541, 2662, 3993, 5082, 7986, 9317, 18634, 27951

Step-4: Factors of 55909

List of positive integer factors of 55909 that divides 55902 without a remainder.

1, 7, 49, 163, 343, 1141, 7987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55902 and 55909. The biggest common factor number is the GCF number.
So the greatest common factor 55902 and 55909 is 7.

Also check out the Least Common Multiple of 55902 and 55909