What is the Greatest Common Factor of 53955 and 53966?

Greatest common factor (GCF) of 53955 and 53966 is 11.

GCF(53955,53966) = 11

We will now calculate the prime factors of 53955 and 53966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53955 and 53966.

How to find the GCF of 53955 and 53966?

We will first find the prime factorization of 53955 and 53966. After we will calculate the factors of 53955 and 53966 and find the biggest common factor number .

Step-1: Prime Factorization of 53955

Prime factors of 53955 are 3, 5, 11, 109. Prime factorization of 53955 in exponential form is:

53955 = 3² × 5¹ × 11¹ × 109¹

Step-2: Prime Factorization of 53966

Prime factors of 53966 are 2, 11, 223. Prime factorization of 53966 in exponential form is:

53966 = 2¹ × 11² × 223¹

Step-3: Factors of 53955

List of positive integer factors of 53955 that divides 53955 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 109, 165, 327, 495, 545, 981, 1199, 1635, 3597, 4905, 5995, 10791, 17985

Step-4: Factors of 53966

List of positive integer factors of 53966 that divides 53955 without a remainder.

1, 2, 11, 22, 121, 223, 242, 446, 2453, 4906, 26983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53955 and 53966. The biggest common factor number is the GCF number.
So the greatest common factor 53955 and 53966 is 11.

Also check out the Least Common Multiple of 53955 and 53966