What is the Greatest Common Factor of 55666 and 55682?

Greatest common factor (GCF) of 55666 and 55682 is 2.

GCF(55666,55682) = 2

We will now calculate the prime factors of 55666 and 55682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55666 and 55682.

How to find the GCF of 55666 and 55682?

We will first find the prime factorization of 55666 and 55682. After we will calculate the factors of 55666 and 55682 and find the biggest common factor number .

Step-1: Prime Factorization of 55666

Prime factors of 55666 are 2, 13, 2141. Prime factorization of 55666 in exponential form is:

55666 = 2¹ × 13¹ × 2141¹

Step-2: Prime Factorization of 55682

Prime factors of 55682 are 2, 11, 2531. Prime factorization of 55682 in exponential form is:

55682 = 2¹ × 11¹ × 2531¹

Step-3: Factors of 55666

List of positive integer factors of 55666 that divides 55666 without a remainder.

1, 2, 13, 26, 2141, 4282, 27833

Step-4: Factors of 55682

List of positive integer factors of 55682 that divides 55666 without a remainder.

1, 2, 11, 22, 2531, 5062, 27841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55666 and 55682. The biggest common factor number is the GCF number.
So the greatest common factor 55666 and 55682 is 2.

Also check out the Least Common Multiple of 55666 and 55682