What is the Greatest Common Factor of 55685 and 55700?

Greatest common factor (GCF) of 55685 and 55700 is 5.

GCF(55685,55700) = 5

We will now calculate the prime factors of 55685 and 55700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55685 and 55700.

How to find the GCF of 55685 and 55700?

We will first find the prime factorization of 55685 and 55700. After we will calculate the factors of 55685 and 55700 and find the biggest common factor number .

Step-1: Prime Factorization of 55685

Prime factors of 55685 are 5, 7, 37, 43. Prime factorization of 55685 in exponential form is:

55685 = 5¹ × 7¹ × 37¹ × 43¹

Step-2: Prime Factorization of 55700

Prime factors of 55700 are 2, 5, 557. Prime factorization of 55700 in exponential form is:

55700 = 2² × 5² × 557¹

Step-3: Factors of 55685

List of positive integer factors of 55685 that divides 55685 without a remainder.

1, 5, 7, 35, 37, 43, 185, 215, 259, 301, 1295, 1505, 1591, 7955, 11137

Step-4: Factors of 55700

List of positive integer factors of 55700 that divides 55685 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 557, 1114, 2228, 2785, 5570, 11140, 13925, 27850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55685 and 55700. The biggest common factor number is the GCF number.
So the greatest common factor 55685 and 55700 is 5.

Also check out the Least Common Multiple of 55685 and 55700