What is the Greatest Common Factor of 55700 and 55714?

Greatest common factor (GCF) of 55700 and 55714 is 2.

GCF(55700,55714) = 2

We will now calculate the prime factors of 55700 and 55714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55700 and 55714.

How to find the GCF of 55700 and 55714?

We will first find the prime factorization of 55700 and 55714. After we will calculate the factors of 55700 and 55714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55714

Prime factors of 55714 are 2, 89, 313. Prime factorization of 55714 in exponential form is:

55714 = 2¹ × 89¹ × 313¹

Step-3: Factors of 55700

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

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

Step-4: Factors of 55714

List of positive integer factors of 55714 that divides 55700 without a remainder.

1, 2, 89, 178, 313, 626, 27857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55700 and 55714. The biggest common factor number is the GCF number.
So the greatest common factor 55700 and 55714 is 2.

Also check out the Least Common Multiple of 55700 and 55714