What is the Greatest Common Factor of 55678 and 55698?

Greatest common factor (GCF) of 55678 and 55698 is 2.

GCF(55678,55698) = 2

We will now calculate the prime factors of 55678 and 55698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55678 and 55698.

How to find the GCF of 55678 and 55698?

We will first find the prime factorization of 55678 and 55698. After we will calculate the factors of 55678 and 55698 and find the biggest common factor number .

Step-1: Prime Factorization of 55678

Prime factors of 55678 are 2, 7, 41, 97. Prime factorization of 55678 in exponential form is:

55678 = 2¹ × 7¹ × 41¹ × 97¹

Step-2: Prime Factorization of 55698

Prime factors of 55698 are 2, 3, 9283. Prime factorization of 55698 in exponential form is:

55698 = 2¹ × 3¹ × 9283¹

Step-3: Factors of 55678

List of positive integer factors of 55678 that divides 55678 without a remainder.

1, 2, 7, 14, 41, 82, 97, 194, 287, 574, 679, 1358, 3977, 7954, 27839

Step-4: Factors of 55698

List of positive integer factors of 55698 that divides 55678 without a remainder.

1, 2, 3, 6, 9283, 18566, 27849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55678 and 55698. The biggest common factor number is the GCF number.
So the greatest common factor 55678 and 55698 is 2.

Also check out the Least Common Multiple of 55678 and 55698