What is the Greatest Common Factor of 55687 and 55707?

Greatest common factor (GCF) of 55687 and 55707 is 1.

GCF(55687,55707) = 1

We will now calculate the prime factors of 55687 and 55707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55687 and 55707.

How to find the GCF of 55687 and 55707?

We will first find the prime factorization of 55687 and 55707. After we will calculate the factors of 55687 and 55707 and find the biggest common factor number .

Step-1: Prime Factorization of 55687

Prime factors of 55687 are 233, 239. Prime factorization of 55687 in exponential form is:

55687 = 233¹ × 239¹

Step-2: Prime Factorization of 55707

Prime factors of 55707 are 3, 31, 599. Prime factorization of 55707 in exponential form is:

55707 = 3¹ × 31¹ × 599¹

Step-3: Factors of 55687

List of positive integer factors of 55687 that divides 55687 without a remainder.

1, 233, 239

Step-4: Factors of 55707

List of positive integer factors of 55707 that divides 55687 without a remainder.

1, 3, 31, 93, 599, 1797, 18569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55687 and 55707. The biggest common factor number is the GCF number.
So the greatest common factor 55687 and 55707 is 1.

Also check out the Least Common Multiple of 55687 and 55707