What is the Greatest Common Factor of 55677 and 55683?

Greatest common factor (GCF) of 55677 and 55683 is 3.

GCF(55677,55683) = 3

We will now calculate the prime factors of 55677 and 55683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55677 and 55683.

How to find the GCF of 55677 and 55683?

We will first find the prime factorization of 55677 and 55683. After we will calculate the factors of 55677 and 55683 and find the biggest common factor number .

Step-1: Prime Factorization of 55677

Prime factors of 55677 are 3, 67, 277. Prime factorization of 55677 in exponential form is:

55677 = 3¹ × 67¹ × 277¹

Step-2: Prime Factorization of 55683

Prime factors of 55683 are 3, 23, 269. Prime factorization of 55683 in exponential form is:

55683 = 3² × 23¹ × 269¹

Step-3: Factors of 55677

List of positive integer factors of 55677 that divides 55677 without a remainder.

1, 3, 67, 201, 277, 831, 18559

Step-4: Factors of 55683

List of positive integer factors of 55683 that divides 55677 without a remainder.

1, 3, 9, 23, 69, 207, 269, 807, 2421, 6187, 18561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55677 and 55683. The biggest common factor number is the GCF number.
So the greatest common factor 55677 and 55683 is 3.

Also check out the Least Common Multiple of 55677 and 55683