What is the Greatest Common Factor of 55695 and 55700?

Greatest common factor (GCF) of 55695 and 55700 is 5.

GCF(55695,55700) = 5

We will now calculate the prime factors of 55695 and 55700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55695 and 55700.

How to find the GCF of 55695 and 55700?

We will first find the prime factorization of 55695 and 55700. After we will calculate the factors of 55695 and 55700 and find the biggest common factor number .

Step-1: Prime Factorization of 55695

Prime factors of 55695 are 3, 5, 47, 79. Prime factorization of 55695 in exponential form is:

55695 = 3¹ × 5¹ × 47¹ × 79¹

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 55695

List of positive integer factors of 55695 that divides 55695 without a remainder.

1, 3, 5, 15, 47, 79, 141, 235, 237, 395, 705, 1185, 3713, 11139, 18565

Step-4: Factors of 55700

List of positive integer factors of 55700 that divides 55695 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 55695 and 55700. The biggest common factor number is the GCF number.
So the greatest common factor 55695 and 55700 is 5.

Also check out the Least Common Multiple of 55695 and 55700