What is the Greatest Common Factor of 55658 and 55675?

Greatest common factor (GCF) of 55658 and 55675 is 17.

GCF(55658,55675) = 17

We will now calculate the prime factors of 55658 and 55675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55658 and 55675.

How to find the GCF of 55658 and 55675?

We will first find the prime factorization of 55658 and 55675. After we will calculate the factors of 55658 and 55675 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 55675

Prime factors of 55675 are 5, 17, 131. Prime factorization of 55675 in exponential form is:

55675 = 5² × 17¹ × 131¹

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 55675

List of positive integer factors of 55675 that divides 55658 without a remainder.

1, 5, 17, 25, 85, 131, 425, 655, 2227, 3275, 11135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55658 and 55675. The biggest common factor number is the GCF number.
So the greatest common factor 55658 and 55675 is 17.

Also check out the Least Common Multiple of 55658 and 55675