What is the Greatest Common Factor of 51700 and 51720?

Greatest common factor (GCF) of 51700 and 51720 is 20.

GCF(51700,51720) = 20

We will now calculate the prime factors of 51700 and 51720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51700 and 51720.

How to find the GCF of 51700 and 51720?

We will first find the prime factorization of 51700 and 51720. After we will calculate the factors of 51700 and 51720 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 51720

Prime factors of 51720 are 2, 3, 5, 431. Prime factorization of 51720 in exponential form is:

51720 = 2³ × 3¹ × 5¹ × 431¹

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 51720

List of positive integer factors of 51720 that divides 51700 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 431, 862, 1293, 1724, 2155, 2586, 3448, 4310, 5172, 6465, 8620, 10344, 12930, 17240, 25860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51700 and 51720. The biggest common factor number is the GCF number.
So the greatest common factor 51700 and 51720 is 20.

Also check out the Least Common Multiple of 51700 and 51720