What is the Greatest Common Factor of 55641 and 55658?

Greatest common factor (GCF) of 55641 and 55658 is 17.

GCF(55641,55658) = 17

We will now calculate the prime factors of 55641 and 55658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55641 and 55658.

How to find the GCF of 55641 and 55658?

We will first find the prime factorization of 55641 and 55658. After we will calculate the factors of 55641 and 55658 and find the biggest common factor number .

Step-1: Prime Factorization of 55641

Prime factors of 55641 are 3, 17, 1091. Prime factorization of 55641 in exponential form is:

55641 = 3¹ × 17¹ × 1091¹

Step-2: Prime Factorization of 55658

Prime factors of 55658 are 2, 17, 1637. Prime factorization of 55658 in exponential form is:

55658 = 2¹ × 17¹ × 1637¹

Step-3: Factors of 55641

List of positive integer factors of 55641 that divides 55641 without a remainder.

1, 3, 17, 51, 1091, 3273, 18547

Step-4: Factors of 55658

List of positive integer factors of 55658 that divides 55641 without a remainder.

1, 2, 17, 34, 1637, 3274, 27829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55641 and 55658. The biggest common factor number is the GCF number.
So the greatest common factor 55641 and 55658 is 17.

Also check out the Least Common Multiple of 55641 and 55658