What is the Greatest Common Factor of 51750 and 51768?

Greatest common factor (GCF) of 51750 and 51768 is 18.

GCF(51750,51768) = 18

We will now calculate the prime factors of 51750 and 51768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51750 and 51768.

How to find the GCF of 51750 and 51768?

We will first find the prime factorization of 51750 and 51768. After we will calculate the factors of 51750 and 51768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51768

Prime factors of 51768 are 2, 3, 719. Prime factorization of 51768 in exponential form is:

51768 = 2³ × 3² × 719¹

Step-3: Factors of 51750

List of positive integer factors of 51750 that divides 51750 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

Step-4: Factors of 51768

List of positive integer factors of 51768 that divides 51750 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 719, 1438, 2157, 2876, 4314, 5752, 6471, 8628, 12942, 17256, 25884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51750 and 51768. The biggest common factor number is the GCF number.
So the greatest common factor 51750 and 51768 is 18.

Also check out the Least Common Multiple of 51750 and 51768