What is the Greatest Common Factor of 54689 and 54706?

Greatest common factor (GCF) of 54689 and 54706 is 17.

GCF(54689,54706) = 17

We will now calculate the prime factors of 54689 and 54706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54689 and 54706.

How to find the GCF of 54689 and 54706?

We will first find the prime factorization of 54689 and 54706. After we will calculate the factors of 54689 and 54706 and find the biggest common factor number .

Step-1: Prime Factorization of 54689

Prime factors of 54689 are 17, 3217. Prime factorization of 54689 in exponential form is:

54689 = 17¹ × 3217¹

Step-2: Prime Factorization of 54706

Prime factors of 54706 are 2, 17, 1609. Prime factorization of 54706 in exponential form is:

54706 = 2¹ × 17¹ × 1609¹

Step-3: Factors of 54689

List of positive integer factors of 54689 that divides 54689 without a remainder.

1, 17, 3217

Step-4: Factors of 54706

List of positive integer factors of 54706 that divides 54689 without a remainder.

1, 2, 17, 34, 1609, 3218, 27353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54689 and 54706. The biggest common factor number is the GCF number.
So the greatest common factor 54689 and 54706 is 17.

Also check out the Least Common Multiple of 54689 and 54706