What is the Greatest Common Factor of 51700 and 51711?

Greatest common factor (GCF) of 51700 and 51711 is 11.

GCF(51700,51711) = 11

We will now calculate the prime factors of 51700 and 51711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51700 and 51711.

How to find the GCF of 51700 and 51711?

We will first find the prime factorization of 51700 and 51711. After we will calculate the factors of 51700 and 51711 and find the biggest common factor number .

Step-1: Prime Factorization of 51700

Prime factors of 51700 are 2, 5, 11, 47. Prime factorization of 51700 in exponential form is:

51700 = 2² × 5² × 11¹ × 47¹

Step-2: Prime Factorization of 51711

Prime factors of 51711 are 3, 11, 1567. Prime factorization of 51711 in exponential form is:

51711 = 3¹ × 11¹ × 1567¹

Step-3: Factors of 51700

List of positive integer factors of 51700 that divides 51700 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 47, 50, 55, 94, 100, 110, 188, 220, 235, 275, 470, 517, 550, 940, 1034, 1100, 1175, 2068, 2350, 2585, 4700, 5170, 10340, 12925, 25850

Step-4: Factors of 51711

List of positive integer factors of 51711 that divides 51700 without a remainder.

1, 3, 11, 33, 1567, 4701, 17237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51700 and 51711. The biggest common factor number is the GCF number.
So the greatest common factor 51700 and 51711 is 11.

Also check out the Least Common Multiple of 51700 and 51711