What is the Greatest Common Factor of 51700 and 51705?

Greatest common factor (GCF) of 51700 and 51705 is 5.

GCF(51700,51705) = 5

We will now calculate the prime factors of 51700 and 51705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51700 and 51705.

How to find the GCF of 51700 and 51705?

We will first find the prime factorization of 51700 and 51705. After we will calculate the factors of 51700 and 51705 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 51705

Prime factors of 51705 are 3, 5, 383. Prime factorization of 51705 in exponential form is:

51705 = 3³ × 5¹ × 383¹

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 51705

List of positive integer factors of 51705 that divides 51700 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 383, 1149, 1915, 3447, 5745, 10341, 17235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51700 and 51705. The biggest common factor number is the GCF number.
So the greatest common factor 51700 and 51705 is 5.

Also check out the Least Common Multiple of 51700 and 51705