What is the Greatest Common Factor of 55935 and 55946?

Greatest common factor (GCF) of 55935 and 55946 is 11.

GCF(55935,55946) = 11

We will now calculate the prime factors of 55935 and 55946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55935 and 55946.

How to find the GCF of 55935 and 55946?

We will first find the prime factorization of 55935 and 55946. After we will calculate the factors of 55935 and 55946 and find the biggest common factor number .

Step-1: Prime Factorization of 55935

Prime factors of 55935 are 3, 5, 11, 113. Prime factorization of 55935 in exponential form is:

55935 = 3² × 5¹ × 11¹ × 113¹

Step-2: Prime Factorization of 55946

Prime factors of 55946 are 2, 11, 2543. Prime factorization of 55946 in exponential form is:

55946 = 2¹ × 11¹ × 2543¹

Step-3: Factors of 55935

List of positive integer factors of 55935 that divides 55935 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 113, 165, 339, 495, 565, 1017, 1243, 1695, 3729, 5085, 6215, 11187, 18645

Step-4: Factors of 55946

List of positive integer factors of 55946 that divides 55935 without a remainder.

1, 2, 11, 22, 2543, 5086, 27973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55935 and 55946. The biggest common factor number is the GCF number.
So the greatest common factor 55935 and 55946 is 11.

Also check out the Least Common Multiple of 55935 and 55946