What is the Greatest Common Factor of 55909 and 55916?

Greatest common factor (GCF) of 55909 and 55916 is 7.

GCF(55909,55916) = 7

We will now calculate the prime factors of 55909 and 55916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55909 and 55916.

How to find the GCF of 55909 and 55916?

We will first find the prime factorization of 55909 and 55916. After we will calculate the factors of 55909 and 55916 and find the biggest common factor number .

Step-1: Prime Factorization of 55909

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

55909 = 7³ × 163¹

Step-2: Prime Factorization of 55916

Prime factors of 55916 are 2, 7, 1997. Prime factorization of 55916 in exponential form is:

55916 = 2² × 7¹ × 1997¹

Step-3: Factors of 55909

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

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

Step-4: Factors of 55916

List of positive integer factors of 55916 that divides 55909 without a remainder.

1, 2, 4, 7, 14, 28, 1997, 3994, 7988, 13979, 27958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55909 and 55916. The biggest common factor number is the GCF number.
So the greatest common factor 55909 and 55916 is 7.

Also check out the Least Common Multiple of 55909 and 55916