What is the Greatest Common Factor of 51735 and 51750?

Greatest common factor (GCF) of 51735 and 51750 is 15.

GCF(51735,51750) = 15

We will now calculate the prime factors of 51735 and 51750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51735 and 51750.

How to find the GCF of 51735 and 51750?

We will first find the prime factorization of 51735 and 51750. After we will calculate the factors of 51735 and 51750 and find the biggest common factor number .

Step-1: Prime Factorization of 51735

Prime factors of 51735 are 3, 5, 3449. Prime factorization of 51735 in exponential form is:

51735 = 3¹ × 5¹ × 3449¹

Step-2: Prime Factorization of 51750

Prime factors of 51750 are 2, 3, 5, 23. Prime factorization of 51750 in exponential form is:

51750 = 2¹ × 3² × 5³ × 23¹

Step-3: Factors of 51735

List of positive integer factors of 51735 that divides 51735 without a remainder.

1, 3, 5, 15, 3449, 10347, 17245

Step-4: Factors of 51750

List of positive integer factors of 51750 that divides 51735 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 125, 138, 150, 207, 225, 230, 250, 345, 375, 414, 450, 575, 690, 750, 1035, 1125, 1150, 1725, 2070, 2250, 2875, 3450, 5175, 5750, 8625, 10350, 17250, 25875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51735 and 51750. The biggest common factor number is the GCF number.
So the greatest common factor 51735 and 51750 is 15.

Also check out the Least Common Multiple of 51735 and 51750