What is the Greatest Common Factor of 55658 and 55663?

Greatest common factor (GCF) of 55658 and 55663 is 1.

GCF(55658,55663) = 1

We will now calculate the prime factors of 55658 and 55663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55658 and 55663.

How to find the GCF of 55658 and 55663?

We will first find the prime factorization of 55658 and 55663. After we will calculate the factors of 55658 and 55663 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55663

Prime factors of 55663 are 55663. Prime factorization of 55663 in exponential form is:

55663 = 55663¹

Step-3: Factors of 55658

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

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

Step-4: Factors of 55663

List of positive integer factors of 55663 that divides 55658 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55658 and 55663. The biggest common factor number is the GCF number.
So the greatest common factor 55658 and 55663 is 1.

Also check out the Least Common Multiple of 55658 and 55663