What is the Greatest Common Factor of 55611 and 55629?

Greatest common factor (GCF) of 55611 and 55629 is 9.

GCF(55611,55629) = 9

We will now calculate the prime factors of 55611 and 55629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55611 and 55629.

How to find the GCF of 55611 and 55629?

We will first find the prime factorization of 55611 and 55629. After we will calculate the factors of 55611 and 55629 and find the biggest common factor number .

Step-1: Prime Factorization of 55611

Prime factors of 55611 are 3, 37, 167. Prime factorization of 55611 in exponential form is:

55611 = 3² × 37¹ × 167¹

Step-2: Prime Factorization of 55629

Prime factors of 55629 are 3, 7, 883. Prime factorization of 55629 in exponential form is:

55629 = 3² × 7¹ × 883¹

Step-3: Factors of 55611

List of positive integer factors of 55611 that divides 55611 without a remainder.

1, 3, 9, 37, 111, 167, 333, 501, 1503, 6179, 18537

Step-4: Factors of 55629

List of positive integer factors of 55629 that divides 55611 without a remainder.

1, 3, 7, 9, 21, 63, 883, 2649, 6181, 7947, 18543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55611 and 55629. The biggest common factor number is the GCF number.
So the greatest common factor 55611 and 55629 is 9.

Also check out the Least Common Multiple of 55611 and 55629