What is the Greatest Common Factor of 55682 and 55693?

Greatest common factor (GCF) of 55682 and 55693 is 11.

GCF(55682,55693) = 11

We will now calculate the prime factors of 55682 and 55693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55682 and 55693.

How to find the GCF of 55682 and 55693?

We will first find the prime factorization of 55682 and 55693. After we will calculate the factors of 55682 and 55693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55693

Prime factors of 55693 are 11, 61, 83. Prime factorization of 55693 in exponential form is:

55693 = 11¹ × 61¹ × 83¹

Step-3: Factors of 55682

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

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

Step-4: Factors of 55693

List of positive integer factors of 55693 that divides 55682 without a remainder.

1, 11, 61, 83, 671, 913, 5063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55682 and 55693. The biggest common factor number is the GCF number.
So the greatest common factor 55682 and 55693 is 11.

Also check out the Least Common Multiple of 55682 and 55693