What is the Greatest Common Factor of 55666 and 55679?

Greatest common factor (GCF) of 55666 and 55679 is 13.

GCF(55666,55679) = 13

We will now calculate the prime factors of 55666 and 55679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55666 and 55679.

How to find the GCF of 55666 and 55679?

We will first find the prime factorization of 55666 and 55679. After we will calculate the factors of 55666 and 55679 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 55679

Prime factors of 55679 are 13, 4283. Prime factorization of 55679 in exponential form is:

55679 = 13¹ × 4283¹

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 55679

List of positive integer factors of 55679 that divides 55666 without a remainder.

1, 13, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55666 and 55679. The biggest common factor number is the GCF number.
So the greatest common factor 55666 and 55679 is 13.

Also check out the Least Common Multiple of 55666 and 55679